Relevant bibliographies by topics / Differential geometry

Academic literature on the topic 'Differential geometry'

Author: Grafiati
Published: 4 June 2021
Last updated: 31 July 2024

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Journal articles on the topic "Differential geometry"

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Švec, Alois. "Differential geometry of surfaces." Czechoslovak Mathematical Journal 39, no. 2 (1989): 303–22. http://dx.doi.org/10.21136/cmj.1989.102304.

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Kainz, Gerd, and Peter W. Michor. "Natural transformations in differential geometry." Czechoslovak Mathematical Journal 37, no. 4 (1987): 584–607. http://dx.doi.org/10.21136/cmj.1987.102187.

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Švec, Alois. "Affine differential geometry of surfaces." Czechoslovak Mathematical Journal 40, no. 1 (1990): 125–54. http://dx.doi.org/10.21136/cmj.1990.102365.

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Willmore, T. J. "DIFFERENTIAL GEOMETRY." Bulletin of the London Mathematical Society 21, no. 1 (January 1989): 103–4. http://dx.doi.org/10.1112/blms/21.1.103.

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Landsberg, J. M. "differential geometry." Duke Mathematical Journal 85, no. 3 (December 1996): 605–34. http://dx.doi.org/10.1215/s0012-7094-96-08523-3.

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Trautman, Andrzej, William L. Burke, and Emil Kazes. "Differential Geometry for Physicists and Applied Differential Geometry." Physics Today 39, no. 5 (May 1986): 88–90. http://dx.doi.org/10.1063/1.2815009.

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Kock, Anders. "Differential Calculus and Nilpotent Real Numbers." Bulletin of Symbolic Logic 9, no. 2 (June 2003): 225–30. http://dx.doi.org/10.2178/bsl/1052669291.

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Do there exist real numbers d with d2 = 0 (besides d = 0, of course)? The question is formulated provocatively, to stress a formalist view about existence: existence is consistency, or better, coherence.Also, the provocation is meant to challenge the monopoly which the number system, invented by Dedekind et al., is claiming for itself as THE model of the geometric line. The Dedekind approach may be termed “arithmetization of geometry”.We know that one may construct a number system out of synthetic geometry, as Euclid and followers did (completed in Hilbert's Grundlagen der Geometrie, [2, Chapter 3]): “geometrization of arithmetic”. (Picking two distinct points on the geometric line, geometric constructions in an ambient Euclidean plane provide structure of a commutative ring on the line, with the two chosen points as 0 and 1).Starting from the geometric side, nilpotent elements are somewhat reasonable, although Euclid excluded them. The sophist Protagoras presented a picture of a circle and a tangent line; the apparent little line segment D which tangent and circle have in common, are, by Pythagoras' Theorem, precisely the points, whose abscissae d (measured along the tangent) have d2 = 0. Protagoras wanted to use this argument for destructive reasons: to refute the science of geometry.A couple of millenia later, the Danish geometer Hjelmslev revived the Protagoras picture. His aim was more positive: he wanted to describe Nature as it was. According to him (or extrapolating his position), the Real Line, the Line of Sensual Reality, had many nilpotent infinitesimals, which we can see with our naked eyes.
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Frittelli, Simonetta, Carlos Kozameh, and Ezra T. Newman. "Differential Geometry from Differential Equations." Communications in Mathematical Physics 223, no. 2 (October 1, 2001): 383–408. http://dx.doi.org/10.1007/s002200100548.

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Yang, Deane, and William L. Burke. "Applied Differential Geometry." American Mathematical Monthly 95, no. 10 (December 1988): 964. http://dx.doi.org/10.2307/2322407.

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Banchoff, Thomas F., and S. S. Chern. "Global Differential Geometry." American Mathematical Monthly 98, no. 7 (August 1991): 669. http://dx.doi.org/10.2307/2324949.

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Dissertations / Theses on the topic "Differential geometry"

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Liu, Yang, and 劉洋. "Optimization and differential geometry for geometric modeling." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2008. http://hub.hku.hk/bib/B40988077.

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Liu, Yang. "Optimization and differential geometry for geometric modeling." Click to view the E-thesis via HKUTO, 2008. http://sunzi.lib.hku.hk/hkuto/record/B40988077.

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Whiteway, L. "Topics in differential geometry." Thesis, University of Oxford, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.379896.

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Taylor, Thomas E. "Differential geometry of Minkowski spaces." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq24990.pdf.

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Lenssen, Mark. "A topic in differential geometry." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.314920.

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Guo, Guang-Yuan. "Differential geometry of holomorphic bundles." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239283.

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Hale, Mark. "Developments in noncommutative differential geometry." Thesis, Durham University, 2002. http://etheses.dur.ac.uk/3948/.

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One of the great outstanding problems of theoretical physics is the quantisation of gravity, and an associated description of quantum spacetime. It is often argued that, at short distances, the manifold structure of spacetime breaks down and is replaced by some sort of algebraic structure. Noncommutative geometry is a possible candidate for the mathematics of this structure. However, physical theories on noncommutative spaces are still essentially classical and need to be quantised. We present a path integral formalism for quantising gravity in the form of the spectral action. Our basic principle is to sum over all Dirac operators. The approach is demonstrated on two simple finite noncommutative geometries (the two-point space and the matrix geometry M(_2)(C)) and a circle. In each case, we start with the partition function and calculate the graviton propagator and Greens functions. The expectation values of distances are also evaluated. We find on the finite noncommutative geometries, distances shrink with increasing graviton excitations, while on a circle, they grow. A comparison is made with Rovelli's canonical quantisation approach, and with his idea of spectral path integrals. We also briefly discuss the quantisation of a general Riemannian manifold. Included, is a comprehensive overview of the homological aspects of noncommutative geometry. In particular, we cover the index pairing between K-theory and K-homology, KK-theory, cyclic homology/cohomology, the Chern character and the index theorem. We also review the various field theories on noncommutative geometries.
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Bartocci, C. "Foundations of graded differential geometry." Thesis, University of Warwick, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386972.

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Mazenc, Edward A. "Multifield inflation and differential geometry." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/83809.

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Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2013.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 63-67).
Cosmic inflation posits that the universe underwent a period of exponential expansion, driven by one or several quantum fields, shortly after the Big Bang. Renormalization requires the fields be non-minimally coupled to gravity. We examine such multifield models and find a rich geometric structure. After a conformal transformation of spacetime, the target field-space acquires non-trivial curvature. We explore two main consequences. First, we construct a field-space covariant framework to study quantum perturbations, extending prior work beyond the slow-roll approximation by working on the full phase space of the theory. Secondly, we show that a wide class of inflationary models can be understood as a geodesic motion on a suitably related manifold. Our geometric approach provides great insight into the (classical) field dynamics, and we have used them to compute non-gaussianities in the cosmic microwave background radiation spectrum.
by Edward A. Mazenc.
S.B.
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Zharkov, Sergei. "Conic structures in differential geometry." Thesis, Connect to e-thesis, 2000. http://theses.gla.ac.uk/1005/.

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Thesis (Ph.D.) -- University of Glasgow, 2000.
Includes bibliographical references (p.86-88). Print version also available. Mode of access : World Wide Web. System requirements : Adobe Acrobat reader required to view PDF document.
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Books on the topic "Differential geometry"

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Prasolov, Victor V. Differential Geometry. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-92249-8.

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Tu, Loring W. Differential Geometry. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55084-8.

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Carreras, Francisco J., Olga Gil-Medrano, and Antonio M. Naveira, eds. Differential Geometry. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0086407.

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Hansen, Vagn Lundsgaard, ed. Differential Geometry. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078607.

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Stoker, J. J. Differential Geometry. Hoboken, NJ, USA: John Wiley & Sons, Inc., 1988. http://dx.doi.org/10.1002/9781118165461.

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Epstein, Marcelo. Differential Geometry. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06920-3.

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Berger, Marcel, and Bernard Gostiaux. Differential Geometry. New York, NY: Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4612-1033-7.

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A, Cordero L., and International Colloquium on Differential Geometry (5th : 1984 : Santiago de Compostela, Spain), eds. Differential geometry. Boston: Pitman Advanced Pub. Program, 1985.

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Okubo, Tanjiro. Differential geometry. New York: M. Dekker, 1987.

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Graustein, William C. Differential geometry. Mineola, NY: Dover Publications, 2006.

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Book chapters on the topic "Differential geometry"

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do Carmo, Manfredo P., Gerd Fischer, Ulrich Pinkall, and Helmut Reckziegel. "Differential Geometry." In Mathematical Models, 155–80. Wiesbaden: Springer Fachmedien Wiesbaden, 2017. http://dx.doi.org/10.1007/978-3-658-18865-8_10.

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Fischer, Gerd. "Differential Geometry." In Mathematical Models, 57–93. Wiesbaden: Springer Fachmedien Wiesbaden, 2017. http://dx.doi.org/10.1007/978-3-658-18865-8_3.

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Seiler, Werner M. "Differential Geometry." In Involution, 585–616. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01287-7_13.

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Wells, Raymond O. "Differential Geometry." In Graduate Texts in Mathematics, 65–107. New York, NY: Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-73892-5_3.

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Bullo, Francesco, and Andrew D. Lewis. "Differential geometry." In Texts in Applied Mathematics, 49–140. New York, NY: Springer New York, 2005. http://dx.doi.org/10.1007/978-1-4899-7276-7_3.

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Selig, J. M. "Differential Geometry." In Monographs in Computer Science, 233–49. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4757-2484-4_13.

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Bærentzen, Jakob Andreas, Jens Gravesen, François Anton, and Henrik Aanæs. "Differential Geometry." In Guide to Computational Geometry Processing, 45–64. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-4075-7_3.

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Hassani, Sadri. "Differential Geometry." In Mathematical Physics, 882–935. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-642-87429-1_29.

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Glaeser, Georg, Hellmuth Stachel, and Boris Odehnal. "Differential Geometry." In The Universe of Conics, 61–126. Berlin, Heidelberg: Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-45450-3_3.

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Stillwell, John. "Differential Geometry." In Undergraduate Texts in Mathematics, 315–37. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4684-9281-1_17.

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Conference papers on the topic "Differential geometry"

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Gu, C. H., H. S. Hu, and Y. L. Xin. "Differential Geometry." In Symposium in Honor of Professor Su Buchin on His 90th Birthday. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814537148.

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Verstraelen, Leopold, and Alan West. "Geometry and Topology of Submanifolds, III." In Leeds Differential Geometry Workshop 1990. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814540124.

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LÊ, DŨNG TRÁNG, and BERNARD TEISSIER. "GEOMETRY OF CHARACTERISTIC VARIETIES." In Algebraic Approach to Differential Equations. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814273244_0003.

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Masa, Xosé, Enrique Macias-Virgós, and Jesús A. Alvarez López. "Analysis and Geometry in Foliated Manifolds." In 7th International Collóquium on Differential Geometry. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/9789814533119.

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Dillen, Franki, and Leopold Verstraelen. "Geometry and Topology of Submanifolds IV." In Conference on Differential Geometry and Vision. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789814537346.

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Oliker, Vladimir I. "On the geometry of convex reflectors." In PDEs, Submanifolds and Affine Differential Geometry. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2002. http://dx.doi.org/10.4064/bc57-0-10.

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Sameer and Pradeep Kumar Pandey. "Copper differential geometry." In ADVANCEMENTS IN MATHEMATICS AND ITS EMERGING AREAS. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0003357.

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Li, H. Z. "Variational problems and PDEs in affine differential geometry." In PDEs, Submanifolds and Affine Differential Geometry. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc69-0-1.

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Belkhelfa, Mohamed, Franki Dillen, and Jun-ichi Inoguchi. "Surfaces with parallel second fundamental form in Bianchi-Cartan-Vranceanu spaces." In PDEs, Submanifolds and Affine Differential Geometry. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2002. http://dx.doi.org/10.4064/bc57-0-5.

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Djorić, Mirjana, and Masafumi Okumura. "CR submanifolds of maximal CR dimension in complex manifolds." In PDEs, Submanifolds and Affine Differential Geometry. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2002. http://dx.doi.org/10.4064/bc57-0-6.

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Reports on the topic "Differential geometry"

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Schmidke, W. B. Jr. Differential geometry of groups in string theory. Office of Scientific and Technical Information (OSTI), September 1990. http://dx.doi.org/10.2172/6422738.

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Zund, Joseph D., and Wayne A. Moore. Conformal Geometry, Hotine's Conjecture, and Differential Geodesy. Fort Belvoir, VA: Defense Technical Information Center, July 1987. http://dx.doi.org/10.21236/ada189265.

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Watts, Paul. Differential geometry on Hopf algebras and quantum groups. Office of Scientific and Technical Information (OSTI), December 1994. http://dx.doi.org/10.2172/89507.

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Schupp, Peter. Quantum groups, non-commutative differential geometry and applications. Office of Scientific and Technical Information (OSTI), December 1993. http://dx.doi.org/10.2172/10148553.

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Manes, J. L. Anomalies in quantum field theory and differential geometry. Office of Scientific and Technical Information (OSTI), April 1986. http://dx.doi.org/10.2172/6982663.

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Cook, J. M. An application of differential geometry to SSC magnet end winding. Office of Scientific and Technical Information (OSTI), April 1990. http://dx.doi.org/10.2172/7050536.

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Ludu, Andrei. Differential Geometry of Moving Surfaces and its Relation to Solitons. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-43-69.

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Bazarov, Ivan, Matthew Andorf, William Bergan, Cameron Duncan, Vardan Khachatryan, Danilo Liarte, David Rubin, and James Sethna. Innovations in optimization and control of accelerators using methods of differential geometry and genetic algorithms. Office of Scientific and Technical Information (OSTI), June 2019. http://dx.doi.org/10.2172/1530158.

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Usmanova, Z. M., S. P. Balandin, and R. G. Zaynullin. Electronic educational and methodological manual on the sections «Linear algebra and analytical geometry, differential calculus of functions of one and several variables» of the discipline «Mathematics». OFERNIO, September 2021. http://dx.doi.org/10.12731/ofernio.2021.24887.

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Wolff, Lawrence B. Differential Geometric Tools for Image Sensor Fusion. Fort Belvoir, VA: Defense Technical Information Center, August 1999. http://dx.doi.org/10.21236/ada386912.

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