Дисертації з теми "Complex Differential Geometry"
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Lam, Tsz-fung. "Nesting of 2D parts with complex geometry and material heterogeneity." Click to view the E-thesis via HKUTO, 2007. http://sunzi.lib.hku.hk/HKUTO/record/B39557005.
Повний текст джерелаLam, Tsz-fung, and 林子峰. "Nesting of 2D parts with complex geometry and material heterogeneity." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2007. http://hub.hku.hk/bib/B39557005.
Повний текст джерелаBrown, James Ryan. "Complex and almost-complex structures on six dimensional manifolds." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4466.
Повний текст джерелаThe entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (February 26, 2007) Vita. Includes bibliographical references.
Kirchhoff-Lukat, Charlotte Sophie. "Aspects of generalized geometry : branes with boundary, blow-ups, brackets and bundles." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/283007.
Повний текст джерелаHsu, Siu-fai, and 許紹輝. "Geometric quantization of fermions and complex bosons." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2013. http://hub.hku.hk/bib/B50434500.
Повний текст джерелаpublished_or_final_version
Mathematics
Master
Master of Philosophy
Ugail, Hassan. "Time-dependent shape parameterisation of complex geometry using PDE surfaces." Nashboro Press, 2004. http://hdl.handle.net/10454/2686.
Повний текст джерелаAlves, Leonardo Soriani 1991. "Geometria complexa generalizada e tópicos relacionados." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305829.
Повний текст джерелаDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
Made available in DSpace on 2018-08-27T10:27:44Z (GMT). No. of bitstreams: 1 Alves_LeonardoSoriani_M.pdf: 542116 bytes, checksum: b4db821b86b39eb2b221b4f63a4c9829 (MD5) Previous issue date: 2015
Resumo: Estudamos geometria complexa generalizada, que tem como casos particulares as geometrias complexa e simplética. Começamos com os seus fundamentos algébricos num espaço vetorial e transportamos essas noções para variedades. Estudamos o colchete de Courant na soma direta dos fibrados tangente e cotangente de uma variedade, que é essencial para definir a integrabilidade das estruturas complexas generalizadas. Verificamos que em nilvariedades de dimensão 6 sempre existe estrutura complexa generalizada invariante à esquerda, ainda que algumas delas não admitam estrutura complexa ou simplética. Estudamos duas noções de T-dualidade e suas relações com geometria complexa generalizada. Por fim recapitulamos a simetria do espelho para curvas elípticas e obtemos uma manifestação de simetria do espelho através de geometria complexa generalizada
Abstract: We study generalized complex geometry, which encompasses complex and symplectic geometry as particular cases. We begin with the algebraic basics on a vector space and then we transport these concepts to manifolds. We study the Courant bracket on the direct sum of tangent and cotangent bundles of a manifold, which is essential to define the integrability of the generalized complex structures. We check that on every $6$ dimensional nilmanifolds there is a left invariant generalized complex structure, even though some of them do not admit complex or symplectic structure. We study two notions of T-dualidade and its relations to generalized complex geometry. We recall mirror symmetry for elliptic curves and derive a manifestation of mirror symmetry from generalized complex geometry
Mestrado
Matematica
Mestre em Matemática
Gabella, Maxime. "The AdS/CFT correspondence and generalized geometry." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:6fd2037e-d0ec-4806-b4db-631eb3693071.
Повний текст джерелаMa, Yilin. "Nonlinear Calderón Problem on Stein Manifolds." Thesis, The University of Sydney, 2021. https://hdl.handle.net/2123/25757.
Повний текст джерелаLY, KIM HA. "ON TWO APPROACHES FOR PARTIAL DIFFERENTIAL EQUATIONS IN SEVERAL COMPLEX VARIABLES." Doctoral thesis, Università degli studi di Padova, 2014. http://hdl.handle.net/11577/3423534.
Повний текст джерелаLo scopo di questa tesi è quello di presentare l'influenza di notazioni di " tipo'' su equazioni differenziali alle derivate parziali in più variabili complesse. Le notazioni di "tipo" qui includono il finito e il tipo di infinito, nel senso di Hormander, e D'Angelo. In particolare, nella prima parte, a condizione tipo finito, prenderemo in considerazione l'esistenza e l'unicità delle soluzioni per il problema del valore iniziale associato ai operatore calore δs+□b su varietà CR. Il tipo finito m è la condizione fondamentale per fornire stime puntuali del nucleo del calore attraverso la teoria degli operatori integrali singolari sviluppate da E. Stein e A. Nagel, D.H. Phong e E. Stein. Prossimo, nella seconda parte, introdurremo un nuovo metodo per indagare la equazioni Cauchy-Riemann δu = φ. Le soluzioni sono costruite con via metodo rappresentazione integrale. Inoltre, mostreremo che il nuovo metodo qui viene applicato anche ben al complesso operatore Monge-Ampère (ddc)n inCn. Il punto principale è che il nostro metodo può passare alcuni risultati noti dal caso di tipo finito al tipo di infinito.
Shaddad, Amna. "The classification and dynamics of the momentum polytopes of the SU(3) action on points in the complex projective plane with an application to point vortices." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/the-classification-and-dynamics-of-the-momentum-polytopes-of-the-su3-action-on-points-in-the-complex-projective-plane-with-an-application-to-point-vortices(456a7a49-ef1b-4660-a8e6-8d4cd0791d9d).html.
Повний текст джерелаBäcklund, Pierre. "Studies on boundary values of eigenfunctions on spaces of constant negative curvature." Doctoral thesis, Uppsala University, Department of Mathematics, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-8920.
Повний текст джерелаThis thesis consists of two papers on the spectral geometry of locally symmetric spaces of Riemannian and Lorentzian signature. Both works are concerned with the idea of relating analysis on such spaces to structures on their boundaries.
The first paper is motivated by a conjecture of Patterson on the Selberg zeta function of Kleinian groups. We consider geometrically finite hyperbolic cylinders with non-compact Riemann surfaces of finite area as cross sections. For these cylinders, we present a detailed investigation of the Bunke-Olbrich extension operator under the assumption that the cross section of the cylinder has one cusp. We establish the meromorphic continuation of the extension of Eisenstein series and incomplete theta series through the limit set. Furthermore, we derive explicit formulas for the residues of the extension operator in terms of boundary values of automorphic eigenfunctions.
The motivation for the second paper comes from conformal geometry in Lorentzian signature. We prove the existence and uniqueness of a sequence of differential intertwining operators for spherical principal series representations, which are realized on boundaries of anti de Sitter spaces. Algebraically, these operators correspond to homomorphisms of generalized Verma modules. We relate these families to the asymptotics of eigenfunctions on anti de Sitter spaces.
Souici, Zobida. "Transformations holomorphiquement projectives des espaces symétriques complexes." Lyon 1, 1988. http://www.theses.fr/1988LYO11758.
Повний текст джерелаGonzalez, Castro Gabriela, and Hassan Ugail. "Shape morphing of complex geometries using partial differential equations." Academy Publisher, 2007. http://hdl.handle.net/10454/2643.
Повний текст джерелаCekić, Mihajlo. "The Calderón problem for connections." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/267829.
Повний текст джерелаAngoshtari, Arzhang. "Geometric discretization schemes and differential complexes for elasticity." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/49026.
Повний текст джерелаStienon, Mathieu. "A propos d'une structure complexe sur un espace de twisteurs pour certaines variété symplectiques." Doctoral thesis, Universite Libre de Bruxelles, 2004. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/211176.
Повний текст джерелаKuang, Shilong. "Analysis of conjugate heat equation on complete non-compact Riemannian manifolds under Ricci flow." Diss., UC access only, 2009. http://proquest.umi.com/pqdweb?index=7&did=1907270831&SrchMode=2&sid=2&Fmt=2&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1270053784&clientId=48051.
Повний текст джерелаIncludes abstract. Includes bibliographical references (leaves 74-76). Issued in print and online. Available via ProQuest Digital Dissertations.
Jbilou, Asma. "Equations hessiennes complexes sur des variétés kählériennes compactes." Phd thesis, Université de Nice Sophia-Antipolis, 2010. http://tel.archives-ouvertes.fr/tel-00463111.
Повний текст джерелаLytle, George H. "APPROXIMATIONS IN RECONSTRUCTING DISCONTINUOUS CONDUCTIVITIES IN THE CALDERÓN PROBLEM." UKnowledge, 2019. https://uknowledge.uky.edu/math_etds/61.
Повний текст джерелаTipler, Carl. "Constructions de métriques extrémales : résolutions de singularités, déformations complexes." Phd thesis, Université de Nantes, 2011. http://tel.archives-ouvertes.fr/tel-00676452.
Повний текст джерелаAuvray, Hugues. "Équation de Monge-Ampère complexe, métriques kählériennes de type Poincaré et instantons gravitationnels ALF." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2012. http://tel.archives-ouvertes.fr/tel-00750891.
Повний текст джерелаSpinaci, Marco. "Déformations des applications harmoniques tordues." Phd thesis, Grenoble, 2013. http://tel.archives-ouvertes.fr/tel-00877310.
Повний текст джерелаGutt, Jean. "On the minimal number of periodic Reeb orbits on a contact manifold." Phd thesis, Université de Strasbourg, 2014. http://tel.archives-ouvertes.fr/tel-01016954.
Повний текст джерелаAribi, Amine. "Le spectre du sous-laplacien sur les variétés CR strictement pseudoconvexes." Phd thesis, Université François Rabelais - Tours, 2012. http://tel.archives-ouvertes.fr/tel-00960234.
Повний текст джерела"Topics in complex differential geometry." Chinese University of Hong Kong, 1987. http://library.cuhk.edu.hk/record=b5885783.
Повний текст джерелаBailey, Michael. "On the Local and Global Classification of Generalized Complex Structures." Thesis, 2012. http://hdl.handle.net/1807/32657.
Повний текст джерела(6597026), Hongshan Li. "Vanishing Theorems for the logarithmic de Rham complex of unitary local system." Thesis, 2019.
Знайти повний текст джерелаSun, Jian. "Kähler-Einstein metrics and Sobolev inequality /." 2000. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:9965165.
Повний текст джерелаMcBride, Matthew Scott. "D-bar and Dirac Type Operators on Classical and Quantum Domains." 2012. http://hdl.handle.net/1805/2931.
Повний текст джерелаI study d-bar and Dirac operators on classical and quantum domains subject to the APS boundary conditions, APS like boundary conditions, and other types of global boundary conditions. Moreover, the inverse or inverse modulo compact operators to these operators are computed. These inverses/parametrices are also shown to be bounded and are also shown to be compact, if possible. Also the index of some of the d-bar operators are computed when it doesn't have trivial index. Finally a certain type of limit statement can be said between the classical and quantum d-bar operators on specialized complex domains.
Philip, Eliza. "Function Theory On Non-Compact Riemann Surfaces." Thesis, 2012. https://etd.iisc.ac.in/handle/2005/2330.
Повний текст джерелаPhilip, Eliza. "Function Theory On Non-Compact Riemann Surfaces." Thesis, 2012. http://etd.iisc.ernet.in/handle/2005/2330.
Повний текст джерелаHerrera, Andrea Cecilia. "Estructuras Killing-Yano invariantes en variedades homogéneas." Bachelor's thesis, 2018. http://hdl.handle.net/11086/6554.
Повний текст джерелаEstudiamos 2-formas de Killing-Yano invariantes a izquierda sobre grupos de Lie, o equivalentemente, sobre álgebras de Lie. Más particularmente, clasificamos las álgebras de Lie de dimensión 4 que admitan tales estructuras, y para cada una de tales álgebras, listamos todas las posibles estructuras de Killing-Yano (salvo equivalencia). Realizando extensiones centrales de estas álgebras obtenemos ejemplos de 2-formas de Killing-Yano Conformes en dimensión 5. Las álgebras de Lie obtenidas resultan ser aquellas álgebras de Lie sasakianas (de dimensión 5) con centro no trivial. Analizamos tensores de Killing-Yano invariantes para variedades homogéneas G/K que admitan una métrica G-invariante. Más específicamente estudiamos la ecuación de Killing-Yano en variedades bandera generalizadas y damos ejemplos concretos en variedades bandera maximales de dimensiones 6, 8 y 12.
We study left invariant Killing-Yano 2-forms on Lie groups. This is equivalent to work at the Lie algebra level. In particular, we classify four dimensional Lie algebras that admit such structures, and for each of them we list all the possibles Killing-Yano structures (up to equivalence). Doing central extensions on the obtained Lie algebras, we find examples of Conformal Killing-Yano tensors in dimension five. Further, the obtained central extensions are Sasakian Lie algebras of dimension five with no trivial center. We analyse G-invariant Killing-Yano tensors on homogeneous spaces G/K that admits a G-invariant metric. As an application we study the Killing-Yano equation on Generalized flag manifolds and we find examples of invariant Killing Yano tensors on full flag manifolds of dimension six, eight and twelve.
Ghosh, Kartick. "On some canonical metrics on holomorphic vector bundles over Kahler manifolds." Thesis, 2023. https://etd.iisc.ac.in/handle/2005/6152.
Повний текст джерела(9132815), Kuang-Ru Wu. "Hermitian-Yang-Mills Metrics on Hilbert Bundles and in the Space of Kahler Potentials." Thesis, 2020.
Знайти повний текст джерела"The geometry of complete positively curved Kähler manifolds." 2003. http://library.cuhk.edu.hk/record=b6073552.
Повний текст джерела"August 2003."
Thesis (Ph.D.)--Chinese University of Hong Kong, 2003.
Includes bibliographical references (p. 68-71).
Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web.
Mode of access: World Wide Web.
Abstracts in English and Chinese.
(6983546), Stefano Silvestri. "The Dynamics of Semigroups of Contraction Similarities on the Plane." Thesis, 2019.
Знайти повний текст джерела"On the structure of complete Kähler manifolds with positive bisectional curvature." 2005. http://library.cuhk.edu.hk/record=b5896407.
Повний текст джерелаThesis (M.Phil.)--Chinese University of Hong Kong, 2005.
Includes bibliographical references (leaves 65-67).
Abstracts in English and Chinese.
Abstract --- p.i
Acknowledgments --- p.ii
Chapter 1 --- Introduction --- p.1
Chapter 2 --- A multiplicity estimate and applications --- p.5
Chapter 2.1 --- A multiplicity estimate --- p.6
Chapter 2.2 --- Sharp bounds for the dimensions of the spaces of holomorphic functions of polynomial growth --- p.14
Chapter 2.3 --- Siegel's theorem on the fields of rational functions --- p.15
Chapter 3 --- Quasi-embedding of complete Kahler manifolds --- p.21
Chapter 3.1 --- The original map F0 --- p.21
Chapter 3.2 --- Almost injectivity of F0 --- p.26
Chapter 3.3 --- Almost surjectivity of F0 --- p.28
Chapter 3.4 --- Weaker conditions for almost surjectivity --- p.41
Chapter 3.5 --- Existence of quasi-embedding --- p.48
Chapter 4 --- Desingularization of quasi-embeddings --- p.51
Chapter 4.1 --- Normalization of a map with polynomial growth --- p.51
Chapter 4.2 --- The method to desingularize a quasi-embedding --- p.54
Chapter 4.3 --- The case of dimension two --- p.55
Chapter 4.4 --- A uniformization theorem --- p.63
Bibliography --- p.65
Kinzebulatov, Damir. "Geometric Analysis on Solutions of Some Differential Inequalities and within Restricted Classes of Holomorphic Functions." Thesis, 2012. http://hdl.handle.net/1807/32309.
Повний текст джерела"Isometric immersions of complete surfaces with non-positive curvature." 2000. http://library.cuhk.edu.hk/record=b5890388.
Повний текст джерелаThesis (M.Phil.)--Chinese University of Hong Kong, 2000.
Includes bibliographical references (leaves 99-100).
Abstracts in English and Chinese.
Chapter 1 --- Introduction --- p.5
Chapter 2 --- The Theorem of Efimov --- p.7
Chapter 2.1 --- The Idea of the Proof of the Efimov's Theorem --- p.8
Chapter 2.2 --- Proof of the Efimov's Main Lemma --- p.12
Chapter 2.3 --- Proof of Lemma 2.3 --- p.48
Chapter 2.4 --- Proof of Lemma 2.4 --- p.52
Chapter 3 --- Isometric Immersion into R3 of Complete Surfaces with Negative Curvature --- p.62
Chapter 3.1 --- The Sketch of the Proof of Theorem 3.1 --- p.66
Chapter 3.2 --- Proof of Lemma 3.4 --- p.75
Chapter 3.3 --- Proof of Lemma 3.5 --- p.76
Chapter 3.4 --- Proof of Lemma 3.6 --- p.86
Chapter 3.5 --- Proof of Lemma 3.7 --- p.89
Chapter 3.6 --- The Geometric Properties of the Immersion --- p.95
Ochoa, Mayorga Victor Manuel. "Geometric approach to multi-scale 3D gesture comparison." Phd thesis, 2010. http://hdl.handle.net/10048/1530.
Повний текст джерелаMühle, Steffen. "Nanoscale Brownian Dynamics of Semiflexible Biopolymers." Doctoral thesis, 2020. http://hdl.handle.net/21.11130/00-1735-0000-0005-1433-B.
Повний текст джерелаARRIGHETTI, Walter. "Mathematical models and methods for Electromagnetism on fractal geometries." Doctoral thesis, 2007. http://hdl.handle.net/11573/1656600.
Повний текст джерелаAnarella, Mateo. "Control de líneas con movimiento infinitesimalmente helicoidal de paso fijo." Bachelor's thesis, 2020. http://hdl.handle.net/11086/15371.
Повний текст джерелаSea L el espacio de líneas orientadas de R^3 o del espacio hiperbólico H^3. Se estudia la controlabilidad del sistema de control en L dado por la condición de que una curva de líneas orientadas describa en cada instante, a nivel infinitesimal, un helicoide de paso prefijado. El sistema se describe con precisión como cierto subfibrado de TL sobre L (que no es topológicamente trivial) y resulta controlable salvo en el caso euclídeo con helicoide plano (paso infinito).
Let L be the space of oriented lines of R^3 or hyperbolic space H^3. We study the controllability of the control system in L given by the condition that a curve of oriented lines describes at each instant, at the infinitesimal level, a helicoid with prescribed pitch. The system is defined precisely as a certain subbundle of TL over L (which is not topologically trivial) and turns out to be controllable except in the Euclidean case with flat helicoid (infinite pitch).
Fil: Anarella, Mateo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.
Moas, Ruth Paola. "La energía de las secciones unitarias normales de la grassmanniana asociadas a productos cruz." Doctoral thesis, 2020. http://hdl.handle.net/11086/19767.
Повний текст джерелаSea G(k,n) la grassmanniana de subespacios orientados de Rn de dimensión k con su métrica riemanniana canónica. Estudiamos la energía de funciones que asignan a cada P en G(k,n) un vector unitario normal a P. Son secciones de un fibrado esférico E(k,n) sobre G(k,n). Los productos cruz doble y triple octoniónicos inducen de manera natural secciones de este tipo para k=2, n=7 y k=3, n=8, respectivamente. Probamos que son aplicaciones armónicas en E(k,n) munido de la métrica de Sasaki. Esto, junto con el resultado bien conocido de que los campos vectoriales de Hopf en esferas de dimensión impar son aplicaciones armónicas en su fibrado tangente unitario, nos permite concluir que todas las secciones normales unitarias de las grassmannianas asociadas a productos cruz son aplicaciones armónicas. También mostramos que estos fibrados esféricos no poseen secciones paralelas, que trivialmente habrían tenido energía mínima. En una segunda instancia analizamos la energía de aplicaciones que asignan a cada P en G(2,8) una estructura compleja ortogonal J(P) en el subespacio ortogonal a P. Estas asignaciones son secciones del subfibrado esférico unitario del fibrado vectorial sobre P en G(2,8) cuya fibra en cada P consiste esencialmente de las transformaciones antisimétricas del subespacio ortogonal a P. Probamos que la sección naturalmente inducida por el producto cruz triple octoniónico es una aplicación armónica. Comentamos la relación con la armonicidad de la estructura casi compleja canónica de la esfera de dimensión 6.
Let G(k,n) be the Grassmannian of oriented subspaces of Rn of dimension k with its canonical symmetric Riemannian metric. We study the energy of maps assigning a unit vector normal to P to each P in G(k,n) . They are sections of a sphere bundle E(k,n) over G(k,n). The octonionic double and triple cross products induce in a natural way such sections for k=2, n=7 and k=3, n=8, respectively. We prove that they are harmonic maps into E(k,n) endowed with the Sasaki metric. This, together with the well-known result that Hopf vector fields on odd dimensional spheres are harmonic maps into their unit tangent bundles, allows us to conclude that all unit normal sections of the Grassmannians associated with cross products are harmonic. We also show that these sphere bundles do not have parallel sections, which trivially would have had minimum energy. In a second instance we analyze the energy of maps assigning an orthogonal complex structure J(P) on P to each P in G(2,8). They are sections of the unit sphere bundle over G(2,8) whose fiber at each P consists essentially of the skewsymmetric transformations on P?. We prove that the section naturally induced by the octonionic triple product is a harmonic map. We comment on the relationship with the harmonicity of the canonical almost complex structure of the sphere of dimension 6.
publishedVersion
Fil: Moas, Ruth Paola. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina.