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Статті в журналах з теми "Lorentzian"

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Prakasha, D. G., та Vasant Chavan. "On M-Projective Curvature Tensor of Lorentzian α-Sasakian Manifolds". International Journal of Pure Mathematical Sciences 18 (серпень 2017): 22–31. http://dx.doi.org/10.18052/www.scipress.com/ijpms.18.22.

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In this paper, we study the nature of Lorentzianα-Sasakian manifolds admitting M-projective curvature tensor. We show that M-projectively flat and irrotational M-projective curvature tensor of Lorentzian α-Sasakian manifolds are locally isometric to unit sphere Sn(c) , wherec = α2. Next we study Lorentzianα-Sasakian manifold with conservative M-projective curvature tensor. Finally, we find certain geometrical results if the Lorentzianα-Sasakian manifold satisfying the relation M(X,Y)⋅R=0.
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Brändén and Huh. "Lorentzian polynomials." Annals of Mathematics 192, no. 3 (2020): 821. http://dx.doi.org/10.4007/annals.2020.192.3.4.

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Al-shehri, Norah, and Mohammed Guediri. "Semi-symmetric Lorentzian hypersurfaces in Lorentzian space forms." Journal of Geometry and Physics 71 (September 2013): 85–102. http://dx.doi.org/10.1016/j.geomphys.2013.04.007.

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Liu, Haiming, and Xiawei Chen. "Lorentzian Approximations and Gauss–Bonnet Theorem for E 1,1 with the Second Lorentzian Metric." Journal of Mathematics 2022 (October 28, 2022): 1–12. http://dx.doi.org/10.1155/2022/5402011.

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In this paper, we consider the Lorentzian approximations of rigid motions of the Minkowski plane E L 2 1,1 . By using the method of Lorentzian approximations, we define the notions of the intrinsic curvature for regular curves, the intrinsic geodesic curvature of regular curves on Lorentzian surface, and the intrinsic Gaussian curvature of Lorentzian surface in E 1,1 with the second Lorentzian metric away from characteristic points. Furthermore, we derive the expressions of those curvatures and prove Gauss–Bonnet theorem for the Lorentzian surface in E 1,1 with the second left-invariant Lorentzian metric g 2 .
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Lee, Ji-Eun. "Slant Curves and Contact Magnetic Curves in Sasakian Lorentzian 3-Manifolds." Symmetry 11, no. 6 (June 12, 2019): 784. http://dx.doi.org/10.3390/sym11060784.

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In this article, we define Lorentzian cross product in a three-dimensional almost contact Lorentzian manifold. Using a Lorentzian cross product, we prove that the ratio of κ and τ − 1 is constant along a Frenet slant curve in a Sasakian Lorentzian three-manifold. Moreover, we prove that γ is a slant curve if and only if M is Sasakian for a contact magnetic curve γ in contact Lorentzian three-manifold M. As an example, we find contact magnetic curves in Lorentzian Heisenberg three-space.
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Liu, Haiming, Xiawei Chen, Jianyun Guan, and Peifu Zu. "Lorentzian approximations for a Lorentzian $ \alpha $-Sasakian manifold and Gauss-Bonnet theorems." AIMS Mathematics 8, no. 1 (2022): 501–28. http://dx.doi.org/10.3934/math.2023024.

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<abstract><p>In this paper, we define the Lorentzian approximations of a $ 3 $-dimensional Lorentzian $ \alpha $-Sasakian manifold. Moreover, we define the notions of the intrinsic curvature for regular curves, the intrinsic geodesic curvature of regular curves on Lorentzian surfaces and spacelike surfaces and the intrinsic Gaussian curvature of Lorentzian surfaces and spacelike surfaces away from characteristic points. Furthermore, we derive the expressions of those curvatures and prove Gauss-Bonnet theorems for the Lorentzian surfaces and spacelike surfaces in the Lorentzian $ \alpha $-Sasakian manifold.</p></abstract>
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Bombelli, Luca. "Statistical Lorentzian geometry and the closeness of Lorentzian manifolds." Journal of Mathematical Physics 41, no. 10 (2000): 6944. http://dx.doi.org/10.1063/1.1288494.

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Gundogan, Halit. "Lorentzian matrix multiplication and the motions on Lorentzian plane." Glasnik Matematicki 41, no. 2 (December 15, 2006): 329–34. http://dx.doi.org/10.3336/gm.41.2.15.

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Chen, Bang-Yen. "Minimal flat Lorentzian surfaces in Lorentzian complex space forms." Publicationes Mathematicae Debrecen 73, no. 1-2 (July 1, 2008): 233–48. http://dx.doi.org/10.5486/pmd.2008.4247.

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Levinshtein, Michael, Valentin Dergachev, Alexander Dmitriev, and Pavel Shmakov. "Randomness and Earth’s Climate Variability." Fluctuation and Noise Letters 15, no. 01 (March 2016): 1650006. http://dx.doi.org/10.1142/s0219477516500061.

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Paleo-Sciences including palaeoclimatology and palaeoecology have accumulated numerous records related to climatic changes. The researchers have usually tried to identify periodic and quasi-periodic processes in these paleoscientific records. In this paper, we show that this analysis is incomplete. As follows from our results, random processes, namely processes with a single-time-constant [Formula: see text] (noise with a Lorentzian noise spectrum), play a very important and, perhaps, a decisive role in numerous natural phenomena. For several of very important natural phenomena the characteristic time constants [Formula: see text] are very similar and equal to [Formula: see text] years. However, this value of [Formula: see text] is not universal. For example, the spectral density fluctuations of the atmospheric radiocarbon [Formula: see text]C are characterized by a Lorentzian with [Formula: see text] years. The frequency dependence of spectral density fluctuations for benthic [Formula: see text]O records contains two Lorentzians with [Formula: see text] years and [Formula: see text] years.
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Дисертації з теми "Lorentzian"

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Botros, Amir A. "GEODESICS IN LORENTZIAN MANIFOLDS." CSUSB ScholarWorks, 2016. https://scholarworks.lib.csusb.edu/etd/275.

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We present an extension of Geodesics in Lorentzian Manifolds (Semi-Riemannian Manifolds or pseudo-Riemannian Manifolds ). A geodesic on a Riemannian manifold is, locally, a length minimizing curve. On the other hand, geodesics in Lorentzian manifolds can be viewed as a distance between ``events''. They are no longer distance minimizing (instead, some are distance maximizing) and our goal is to illustrate over what time parameter geodesics in Lorentzian manifolds are defined. If all geodesics in timelike or spacelike or lightlike are defined for infinite time, then the manifold is called ``geodesically complete'', or simply, ``complete''. It is easy to show that the magnitude of a geodesic is constant, so one can characterize geodesics in terms of their causal character: if this magnitude is negative, the geodesic is called timelike. If this magnitude is positive, then it is spacelike. If this magnitude is 0, then it is called lightlike or null. Geodesic completeness can be considered by only considering one causal character to produce the notions of spacelike complete, timelike complete, and null or lightlike complete. We illustrate that some of the notions are inequivalent.
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León, Guzmán María Amelia. "Clasificación de toros llanos lorentzianos en espacios tridimensionales." Doctoral thesis, Universidad de Murcia, 2012. http://hdl.handle.net/10803/83824.

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Un problema clásico en geometría lorentziana es la descripción de las inmersiones isométricas entre los espacios lorentzianos de curvatura constante. En este trabajo nos centramos en la clasificación de las inmersiones isométricas del plano lorentziano en el espacio anti-de Sitter tridimensional. Damos una fórmula de representación de estas inmersiones en términos de pares de curvas (con posibles singularidades) en el plano hiperbólico. Esto nos permite resolver los problemas propuestos por Dajczer y Nomizu en 1981. De entre todas las inmersiones isométricas del plano lorentziano en el espacio anti-de Sitter, algunas de ellas corresponden a toros lorentzianos (los ejemplos más sencillos son los toros de Hopf). Como aplicación de nuestra anterior descripción, probamos que todos estos toros pueden obtenerse a partir de dos curvas cerradas en el espacio hiperbólico. Finalmente, demostramos que los toros de Hopf son los únicos toros llanos lorentzianos inmersos en una amplia familia de sumersiones de Killing lorentzianas tridimensionales.
A classical problem in Lorentzian geometry is the description of the isometric immersions between Lorentzian spaces of constant curvature. We investigate the problem of classifying the isometric immersion from the Lorentz plane into the three-dimensional anti-de Sitter space, providing a representation formula of these isometric immersions in terms of pairs of curves (possibly with singularities) in the hyperbolic plane. We then give an answer to the open problems proposed by Dajczer and Nomizu in 1981. Among all isometric immersions of the Lorentz plane into the anti-de Sitter space, some of them are actually Lorentzian tori (the basic examples are the Hopf tori). As an application of our previous description, we prove that any such torus can be recovered from two closed curves in the hyperbolic plane. Finally, we prove that Lorentzian Hopf tori are the only immersed Lorentzian flat tori in a wide family of Lorentzian three-dimensional Killing submersions.
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Leitner, Felipe. "The twistor equation in Lorentzian spin geometry." Doctoral thesis, [S.l. : s.n.], 2001. http://deposit.ddb.de/cgi-bin/dokserv?idn=965107566.

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Bär, Christian, and Nicolas Ginoux. "Classical and quantum fields on Lorentzian manifolds." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/5997/.

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We construct bosonic and fermionic locally covariant quantum fields theories on curved backgrounds for large classes of fields. We investigate the quantum field and n-point functions induced by suitable states.
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Suhr, Stefan [Verfasser]. "Maximal geodesics in Lorentzian geometry / Stefan Suhr." Freiburg : Universität : Universitätsbibliothek Freiburg, 2010. http://d-nb.info/1008073687/34.

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Chen, Hao [Verfasser]. "Ball Packings and Lorentzian Discrete Geometry / Hao Chen." Berlin : Freie Universität Berlin, 2014. http://d-nb.info/1054637156/34.

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Saloom, Amani Hussain. "Curves in the Minkowski plane and Lorentzian surfaces." Thesis, Durham University, 2012. http://etheses.dur.ac.uk/4451/.

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We investigate in this thesis the generic properties of curves in the Minkowski plane R2 1 and of smooth Lorentzian surfaces. The generic properties of curves in R2 1 are obtained by studying the contacts of curves in R2 1 with lines and pseudo-circles. These contacts are captured by the singularities of the families of height and distancesquared functions on the curves. On the other hand, the generic properties of smooth Lorentzian surfaces are obtained by studying certain Binary Differential Equations defined on the surfaces.
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Larssson, Eric. "Lorentzian Cobordisms, Compact Horizons and the Generic Condition." Thesis, KTH, Matematik (Avd.), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-146276.

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We consider the problem of determining which conditions are necessaryfor cobordisms to admit Lorentzian metrics with certain properties. Inparticular, we prove a result originally due to Tipler without a smoothnesshypothesis necessary in the original proof. In doing this, we prove thatcompact horizons in a smooth spacetime satisfying the null energy condition aresmooth. We also prove that the ”generic condition” is indeed generic in the setof Lorentzian metrics on a given manifold
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Hernández, José Javier Cerda. "Ising and Potts model coupled to Lorentzian triangulations." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/45/45133/tde-18032015-170430/.

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The main objective of the present thesis is to investigate: What are the properties of the Ising and Potts model coupled to a CDT emsemble? For that objective, we used two methods: (1) transfer matrix formalism and Krein-Rutman theory. (2) FK representation of the q -state Potts model on CDTs and dual CDTs. Transfer matrix formalism permite us to obtain spectral properties of the transfer matrix using the Krein-Rutman theorem [KR48] on operators preserving the cone of positive func- tions. This yields results on convergence and asymptotic properties of the partition function and the Gibbs measure and allows us to determine regions in the parameter quarter-plane where the free energy converges. Second methods permite us to determine a region in the quadrant of parameters , > 0 where the critical curve for the classical model can be located. We also provide lower and upper bounds for the innite-volume free energy. Finally, using arguments of duality on graph theory and hight-T expansion we study the Potts model coupled to CDTs. This approach permite us to improve the results obtained for Ising model and obtain lower and upper bounds for the critical curve and free energy. Moreover, we obtain an approximation of the maximal eigenvalue of the transfer matrix at lower temperature.
O objetivo principal da presente tese é pesquisar : Quais são as propriedades do modelo de Ising e Potts acoplado ao emsemble de CDT? Para estudar o modelo usamos dois métodos: (1) Matriz de transferência e Teorema de Krein-Rutman. (2) Representação FK para o modelo de Potts sobre CDT e dual de CDT. Matriz de transferência permite obter propriedades espectrais da Matriz de transferência utilizando o Teorema de Krein-Rutman [KR48] sobre operadores que conservam o cone de funções positivas. Também obtemos propriedades asintóticas da função de partição e das medidas de Gibbs. Esses propriedades permitem obter uma região onde a energia livre converge. O segundo método permite obter uma região onde a curva crítica do modelo pode estar localizada. Além disso, também obtemos uma cota superior e inferior para a energia livre a volume infinito. Finalmente, utilizando argumentos de dualidade em grafos e expansão em alta temperatura estudamos o modelo de Potts acoplado as triangulações causais. Essa abordagem permite generalizar o modelo, melhorar os resultados obtidos para o modelo de Ising e obter novas cotas, superior e inferior, para a energia livre e para a curva crítica. Além disso, obtemos uma aproximação do autovalor maximal do operador de transferência a baixa temperatura.
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Svensson, Maximilian. "On the Construction and Traversability of Lorentzian Wormholes." Thesis, Uppsala universitet, Teoretisk fysik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-388473.

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In this literature review we discus and describe the theoretically predicted phenomena known as wormholes, where two different regions of space-time are joined by a “throat” or a “bridge”. If information or even an observer could be sent through the wormhole we refer to it as traversable. We argue that traversable wormholes demands negative energy densities and display a number of different constructions found within the field. Among these the orgional construction by EinsteinRosen and Morris-Thornes discussion on traversability. We also give a overview of the current state of the field by presenting to more recently published papers: “Casimir Energy of a Long Wormhole Throat” av Luke Buther och “Traversable Wormholes via a Double Trace Deformation” av Ping Gao, Daniel Louis Jafferis och Aron C.Wall.
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Книги з теми "Lorentzian"

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Beem, John K. Global Lorentzian geometry. 2nd ed. New York: Marcel Dekker, 1996.

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Albujer, Alma L., Magdalena Caballero, Alfonso García-Parrado, Jónatan Herrera, and Rafael Rubio, eds. Developments in Lorentzian Geometry. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05379-5.

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Advances in Lorentzian geometry: Proceedings of the Lorentzian geometry conference in Berlin. Providence, R.I: American Mathematical Society, 2011.

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Masiello, Antonio. Variational methods in Lorentzian geometry. Harlow: Longman Scientific & Technical, 1994.

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Sánchez, Miguel. Recent Trends in Lorentzian Geometry. New York, NY: Springer New York, 2013.

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Sánchez, Miguel, MIguel Ortega, and Alfonso Romero, eds. Recent Trends in Lorentzian Geometry. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-4897-6.

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Cañadas-Pinedo, María A., José Luis Flores, and Francisco J. Palomo, eds. Lorentzian Geometry and Related Topics. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66290-9.

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Masiello, A. Variational methods in Lorentzian geometry. Harlow, Essex, England: Longman Scientific & Technical, 1994.

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Visser, Matt. Lorentzian wormholes: From Einstein to Hawking. Woodbury, N.Y: American Institute of Physics, 1995.

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Bär, Christian. Wave equations on Lorentzian manifolds and quantization. Zürich, Switzerland: European Mathematical Society, 2007.

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Частини книг з теми "Lorentzian"

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Duplij, Steven, Steven Duplij, Steven Duplij, Frans Klinkhamer, Frans Klinkhamer, Anatoli Klimyk, Gert Roepstorff, et al. "Lorentzian Signature." In Concise Encyclopedia of Supersymmetry, 234. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_308.

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Pfäffle, Frank. "Lorentzian Manifolds." In Quantum Field Theory on Curved Spacetimes, 39–58. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02780-2_2.

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Weik, Martin H. "Lorentzian optical fiber." In Computer Science and Communications Dictionary, 936. Boston, MA: Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_10696.

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García-Río, Eduardo, Demir N. Kupeli, and Ramón Vázquez-Lorenzo. "3. Lorentzian Osserman Manifolds." In Lecture Notes in Mathematics, 39–61. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-45629-2_3.

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Aazami, Amir Babak. "Curvature and Killing Vector Fields on Lorentzian 3-Manifolds." In Developments in Lorentzian Geometry, 59–80. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05379-5_4.

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Alekseevsky, Dmitri, Vicente Cortés, and Thomas Leistner. "Semi-Riemannian Cones with Parallel Null Planes." In Developments in Lorentzian Geometry, 1–11. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05379-5_1.

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Gutiérrez, Manuel, and Benjamín Olea. "Null Hypersurfaces and the Rigged Metric." In Developments in Lorentzian Geometry, 129–42. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05379-5_8.

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Seppi, Andrea, and Enrico Trebeschi. "The Half-Space Model of Pseudo-hyperbolic Space." In Developments in Lorentzian Geometry, 285–313. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05379-5_17.

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Ferreiro-Subrido, María. "Bochner-Flat Para-Kähler Surfaces." In Developments in Lorentzian Geometry, 81–92. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05379-5_5.

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Latorre, Adela, and Luis Ugarte. "Stability of Pseudo-Kähler Manifolds and Cohomological Decomposition." In Developments in Lorentzian Geometry, 207–22. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05379-5_12.

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Тези доповідей конференцій з теми "Lorentzian"

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Zhang, Yiding, Xiao Wang, Chuan Shi, Nian Liu, and Guojie Song. "Lorentzian Graph Convolutional Networks." In WWW '21: The Web Conference 2021. New York, NY, USA: ACM, 2021. http://dx.doi.org/10.1145/3442381.3449872.

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Bilge, Hasan Sakir, and Yerzhan Kerimbekov. "Classification with Lorentzian distance metric." In 2015 23th Signal Processing and Communications Applications Conference (SIU). IEEE, 2015. http://dx.doi.org/10.1109/siu.2015.7130286.

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Kerimbekov, Yerzhan, and Hasan Sakir Bilge. "Face recognition via Lorentzian metric." In 2017 25th Signal Processing and Communications Applications Conference (SIU). IEEE, 2017. http://dx.doi.org/10.1109/siu.2017.7960335.

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Bilge, H. S., and C. Guzel. "Face recognition on Lorentzian manifold." In 2013 21st Signal Processing and Communications Applications Conference (SIU). IEEE, 2013. http://dx.doi.org/10.1109/siu.2013.6531456.

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Senovilla, José M. M. "Second-Order Symmetric Lorentzian Manifolds." In A CENTURY OF RELATIVITY PHYSICS: ERE 2005; XXVIII Spanish Relativity Meeting. AIP, 2006. http://dx.doi.org/10.1063/1.2218194.

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Patanavijit, Vorapoj, and Somchai Jitapunkul. "A Lorentzian Bayesian Approach for Robust Iterative Multiframe Super-Resolution Reconstruction with Lorentzian-Tikhonov Regularization." In 2006 International Symposium on Communications and Information Technologies. IEEE, 2006. http://dx.doi.org/10.1109/iscit.2006.339937.

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Kerimbekov, Yerzhan, Hasan Sakir Bilge, and Hasan Huseyin Ugurlu. "Classification with SVM in Lorentzian space." In 2017 25th Signal Processing and Communications Applications Conference (SIU). IEEE, 2017. http://dx.doi.org/10.1109/siu.2017.7960345.

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MARTÍN-MORUNO, PRADO, and PEDRO F. GONZÁLEZ-DÍAZ. "LORENTZIAN WORMHOLES: EVAPORATING A TIME MACHINE!" In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0158.

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AMBJøRN, J. "SIMPLICIAL EUCLIDEAN AND LORENTZIAN QUANTUM GRAVITY." In Proceedings of the 16th International Conference. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776556_0001.

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Kerimbekov, Yerzhan, and Hasan Şakir Bilge. "Lorentzian Distance Classifier for Multiple Features." In 6th International Conference on Pattern Recognition Applications and Methods. SCITEPRESS - Science and Technology Publications, 2017. http://dx.doi.org/10.5220/0006197004930501.

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Звіти організацій з теми "Lorentzian"

1

Kalkan, Ozgür Boyacıoğlu, and Hakan Oztürk. On Rectifying Curves in Lorentzian n-Space. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, February 2019. http://dx.doi.org/10.7546/crabs.2019.02.03.

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2

Galaev, Anton. Some Applications of the Lorentzian Holonomy Algebras. GIQ, 2012. http://dx.doi.org/10.7546/giq-13-2012-132-149.

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3

Galaev, Anton. Some Applications of the Lorentzian Holonomy Algebras. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-26-2012-13-31.

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4

Kalkan, Özgür Boyacıoğlu. A New Approach on Rectifying Curves in Lorentzian n-Space. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, June 2020. http://dx.doi.org/10.7546/crabs.2020.06.04.

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5

Hasegawa, Kazuyuki. A Lorentzian Surface in a Four-dimensional Manifold of Neutral Signature and its Reflector Lift. GIQ, 2012. http://dx.doi.org/10.7546/giq-13-2012-176-187.

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6

Hasegawa, Kazuyuki. A Lorentzian Surface in a Four-dimensional Manifold of Neutral Signature and its Reflector Lift. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-26-2012-71-83.

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