Relevant bibliographies by topics / Manifolds (Mathematics) Lie groups

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Manifolds (Mathematics) Lie groups'

Author: Grafiati
Published: 4 June 2021
Last updated: 2 February 2022

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Journal articles on the topic "Manifolds (Mathematics) Lie groups"

1

Herz, Carl. "Representations of Lie Groups By Contact Transformations, I: Compact Groups." Canadian Mathematical Bulletin 33, no. 4 (1990): 369–75. http://dx.doi.org/10.4153/cmb-1990-061-6.

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Winkelmann, J�rg. "Realizing connected Lie groups as automorphism groups of complex manifolds." Commentarii Mathematici Helvetici 79, no. 2 (2004): 285–99. http://dx.doi.org/10.1007/s00014-003-0794-5.

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Alexopoulos, Georgios. "Oscillating multipliers on Lie groups and Riemannian manifolds." Tohoku Mathematical Journal 46, no. 4 (1994): 457–68. http://dx.doi.org/10.2748/tmj/1178225675.

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Coulhon, Thierry, Emmanuel Russ, and Valerie Tardivel-Nachef. "Sobolev algebras on Lie groups and Riemannian manifolds." American Journal of Mathematics 123, no. 2 (2001): 283–342. http://dx.doi.org/10.1353/ajm.2001.0009.

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Arvanitoyeorgos, Andreas, V. V. Dzhepko, and Yu G. Nikonorov. "Invariant Einstein Metrics on Some Homogeneous Spaces of Classical Lie Groups." Canadian Journal of Mathematics 61, no. 6 (2009): 1201–13. http://dx.doi.org/10.4153/cjm-2009-056-2.

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Abstract A Riemannian manifold (M, ρ) is called Einstein if the metric ρ satisfies the condition Ric(ρ) = c · ρ for some constant c. This paper is devoted to the investigation of G-invariant Einstein metrics, with additional symmetries, on some homogeneous spaces G/H of classical groups. As a consequence, we obtain new invariant Einstein metrics on some Stiefel manifolds SO(n)/SO(l). Furthermore, we show that for any positive integer p there exists a Stiefelmanifold SO(n)/SO(l) that admits at least p SO(n)-invariant Einstein metrics.
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Freibert, Marco, Lothar Schiemanowski, and Hartmut Weiss. "Homogeneous Spinor Flow." Quarterly Journal of Mathematics 71, no. 1 (2019): 21–51. http://dx.doi.org/10.1093/qmathj/haz036.

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Abstract We study the spinor flow on homogeneous spin manifolds. After providing the general setup we discuss the homogeneous spinor flow in dimension three and on almost abelian Lie groups in detail. As a further example, the flag manifold in dimension six is treated.
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Ivanova, Miroslava, and Lilko Dospatliev. "Geometric characteristics and properties of a three-parametric family of Lie groups with almost contact B-metric structure of the smallest dimension." Asian-European Journal of Mathematics 13, no. 08 (2020): 2050163. http://dx.doi.org/10.1142/s1793557120501636.

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Almost contact [Formula: see text]-metric manifolds of the lowest dimension 3 are constructed by a three-parametric family of Lie groups. Our aim is to determine the class of considered manifolds in a classification of almost contact [Formula: see text]-metric manifolds and their most important geometric characteristics and properties. Also, the type of the constructed Lie algebras is established in the Bianchi classification.
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Nikolayevsky, Y. "Weyl homogeneous manifolds modelled on compact Lie groups." Differential Geometry and its Applications 28, no. 6 (2010): 689–96. http://dx.doi.org/10.1016/j.difgeo.2010.08.002.

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HOFMANN, K. H., and K. H. NEEB. "Pro-Lie groups which are infinite-dimensional Lie groups." Mathematical Proceedings of the Cambridge Philosophical Society 146, no. 2 (2009): 351–78. http://dx.doi.org/10.1017/s030500410800128x.

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AbstractA pro-Lie group is a projective limit of a family of finite-dimensional Lie groups. In this paper we show that a pro-Lie group G is a Lie group in the sense that its topology is compatible with a smooth manifold structure for which the group operations are smooth if and only if G is locally contractible. We also characterize the corresponding pro-Lie algebras in various ways. Furthermore, we characterize those pro-Lie groups which are locally exponential, that is, they are Lie groups with a smooth exponential function which maps a zero neighbourhood in the Lie algebra diffeomorphically
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Suciu, Alexander I., and He Wang. "Formality properties of finitely generated groups and Lie algebras." Forum Mathematicum 31, no. 4 (2019): 867–905. http://dx.doi.org/10.1515/forum-2018-0098.

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Abstract We explore the graded-formality and filtered-formality properties of finitely generated groups by studying the various Lie algebras over a field of characteristic 0 attached to such groups, including the Malcev Lie algebra, the associated graded Lie algebra, the holonomy Lie algebra, and the Chen Lie algebra. We explain how these notions behave with respect to split injections, coproducts, direct products, as well as field extensions, and how they are inherited by solvable and nilpotent quotients. A key tool in this analysis is the 1-minimal model of the group, and the way this model
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Dissertations / Theses on the topic "Manifolds (Mathematics) Lie groups"

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Hsia, Kwok-tung, and 夏國棟. "Orbifold euler characteristic of global quotients." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2010. http://hub.hku.hk/bib/B43572054.

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Hsia, Kwok-tung. "Orbifold euler characteristic of global quotients." Click to view the E-thesis via HKUTO, 2010. http://sunzi.lib.hku.hk/hkuto/record/B43572054.

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Otto, Michael. "Symplectic convexity theorems and applications to the structure theory of semisimple Lie groups." Connect to this title online, 2004. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1084986339.

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Thesis (Ph. D.)--Ohio State University, 2004.<br>Title from first page of PDF file. Document formatted into pages; contains v, 88 p. Includes bibliographical references (p. 87-88). Available online via OhioLINK's ETD Center
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Petersen, Willis L. "The Lie Symmetries of a Few Classes of Harmonic Functions." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd837.pdf.

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Alzaareer, Hamza Verfasser], Helge [Akademischer Betreuer] [Glöckner, Friedrich [Akademischer Betreuer] Wagemann, and Margit [Akademischer Betreuer] Rösler. "Lie groups of mappings on non-compact spaces and manifolds / Hamza Alzaareer. Betreuer: Helge Glöckner ; Friedrich Wagemann ; Margit Rösler." Paderborn : Universitätsbibliothek, 2013. http://d-nb.info/1036932656/34.

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Santos, Ariane Luzia dos. "Controlabilidade de sistemas de controle em grupos de Lie simples e a topologia das variedades flag." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305807.

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Orientador: Luiz Antonio Barrera San Martin<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica.<br>Made available in DSpace on 2018-08-19T06:18:00Z (GMT). No. of bitstreams: 1 Santos_ArianeLuziados_D.pdf: 829222 bytes, checksum: 870721241f42ea4a1c1748427ae28d99 (MD5) Previous issue date: 2011<br>Resumo: Seja S um semigrupo com interior não vazio de um grupo de Lie simples G, conexo, complexo ou real. No caso em que o grupo G é real também considere-o não compacto, com centro finito e cuja álgebra de Lie é uma forma real, norm
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Oliveira, Ailton Ribeiro de 1987. "Formalidade geométrica e números de Chern em variedades flag." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306784.

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Orientadores: Caio José Colletti Negreiros, Lino Anderson da Silva Grama<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-27T16:12:58Z (GMT). No. of bitstreams: 1 Oliveira_AiltonRibeirode_D.pdf: 1000877 bytes, checksum: 4f91902c1ef47fbb7b02f75348402924 (MD5) Previous issue date: 2015<br>Resumo: A primeira parte do trabalho é dedicada ao estudo da formalidade geométrica em variedades flag. Uma Estrutura Riemanniana (M,g) é geometricamente formal se g possui a propriedade que todos os pr
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Ferraiol, Thiago Fanelli 1984. "Diferenciabilidade dos expoentes de Lyapunov." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305804.

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Orientador: Luiz Antonio Barrera San Martin<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-21T17:52:11Z (GMT). No. of bitstreams: 1 Ferraiol_ThiagoFanelli_D.pdf: 1248936 bytes, checksum: b0a3aefba1736bb7ff7be29e982d7aa0 (MD5) Previous issue date: 2012<br>Resumo: Nesta tese apresentamos resultados que fornecem a regularidade dos expoentes de Lyapunov com uma abordagem via teoria de Lie. A generalização dos expoentes de Lyapunov para fluxos em fibrados flag associados a um fibrado pri
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Ahluwalia, Kanwardeep Singh. "Lie bialgebras and Poisson lie groups." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.388758.

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Eddy, Scott M. "Lie Groups and Lie Algebras." Youngstown State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1320152161.

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Books on the topic "Manifolds (Mathematics) Lie groups"

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Kankaanrinta, Marja. Proper real analytic actions of lie groups on manifolds. Suomalainen Tiedeakatemia, 1991.

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Path integrals on group manifolds: The representation independent propagator for general Lie groups. World Scientific, 1998.

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Dynamics on Lorentz manifolds. World Scientific, 2001.

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Rudolph, Gerd. Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems. Springer Netherlands, 2013.

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M, Gusein-Zade S., Varchenko A. N, and SpringerLink (Online service), eds. Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals. Birkhäuser Boston, 2012.

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M, Gusein-Zade S., Varchenko A. N, and SpringerLink (Online service), eds. Singularities of Differentiable Maps, Volume 1: Classification of Critical Points, Caustics and Wave Fronts. Birkhäuser Boston, 2012.

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Doran, Robert S., 1937- editor of compilation, Friedman, Greg, 1973- editor of compilation, and Nollet, Scott, 1962- editor of compilation, eds. Hodge theory, complex geometry, and representation theory: NSF-CBMS Regional Conference in Mathematics, June 18, 2012, Texas Christian University, Fort Worth, Texas. American Mathematical Society, 2013.

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Omori, Hideki. Infinite-dimensional Lie groups. American Mathematical Society, 1997.

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Molahajloo, Shahla. Pseudo-Differential Operators, Generalized Functions and Asymptotics. Springer Basel, 2013.

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Foundations of differentiable manifolds and lie groups. Springer New York, 2010.

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Book chapters on the topic "Manifolds (Mathematics) Lie groups"

1

Kirillov, A. "Lie groups and homogeneous manifolds." In Graduate Studies in Mathematics. American Mathematical Society, 2004. http://dx.doi.org/10.1090/gsm/064/09.

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Naber, Gregory L. "Differentiable Manifolds and Matrix Lie Groups." In Texts in Applied Mathematics. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7254-5_5.

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Taylor, Michael E. "Manifolds, Vector Bundles, and Lie Groups." In Texts in Applied Mathematics. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4684-9320-7_8.

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Gallier, Jean. "Basics of Manifolds and Classical Lie Groups: The Exponential Map, Lie Groups, and Lie Algebras." In Texts in Applied Mathematics. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-9961-0_18.

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Hirsch, Morris. "Actions of Lie groups and Lie algebras on manifolds." In A Celebration of the Mathematical Legacy of Raoul Bott. American Mathematical Society, 2010. http://dx.doi.org/10.1090/crmp/050/09.

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Onishchik, A. L. "Actions of Lie Groups on Low-dimensional Manifolds." In Encyclopaedia of Mathematical Sciences. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-57999-8_12.

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Pawalowski, Krzysztof. "Manifolds as Fixed Point Sets of Smooth Compact Lie Group Actions." In K-Monographs in Mathematics. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-009-0003-5_6.

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Winkelmann, Jörg. "The classification of three-dimensional homogeneous complex manifolds X=G/H where G is a complex lie group." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0095839.

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Winkelmann, Jörg. "The classification of three-dimensional homogeneous complex manifolds X=G/H where G is a real lie group." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0095840.

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Torres del Castillo, Gerardo F. "Lie Groups." In Differentiable Manifolds. Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8271-2_7.

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Conference papers on the topic "Manifolds (Mathematics) Lie groups"

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NESHVEYEV, SERGEY, and LARS TUSET. "QUANTIZATIONS OF POISSON LIE GROUPS AS NONCOMMUTATIVE MANIFOLDS." In XVIth International Congress on Mathematical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814304634_0042.

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SHTARBEVA, D. K. "LIE GROUPS AS FOUR-DIMENSIONAL RIEMANNIAN PRODUCT MANIFOLDS." In Proceedings of the 8th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709806_0031.

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HALLER, STEFAN. "SOME PROPERTIES OF LOCALLY CONFORMAL SYMPLECTIC MANIFOLDS." In Infinite Dimensional Lie Groups in Geometry and Representation Theory. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777089_0007.

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BANYAGA, A. "ON THE GEOMETRY OF LOCALLY CONFORMAL SYMPLECTIC MANIFOLDS." In Infinite Dimensional Lie Groups in Geometry and Representation Theory. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777089_0006.

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SCHMID, RUDOLF. "THE LIE GROUP OF FOURIER INTEGRAL OPERATORS ON OPEN MANIFOLDS." In Infinite Dimensional Lie Groups in Geometry and Representation Theory. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777089_0004.

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TEOFILOVA, M. "LIE GROUPS AS FOUR-DIMENSIONAL CONFORMAL KÄHLER MANIFOLDS WITH NORDEN METRIC." In Proceedings of the 8th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709806_0034.

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Park, Frank C., and Bahram Ravani. "Bézier Curves on Riemannian Manifolds and Lie Groups With Kinematics Applications." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0173.

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Abstract In this article we generalize the concept of Bézier curves to curved spaces, and illustrate this generalization with an application in kinematics. We show how De Casteljau’s algorithm for constructing Bézier curves can be extended in a natural way to Riemannian manifolds. We then consider a special class of Riemannian manifold, the Lie groups. Because of their algebraic group structure Lie groups admit an elegant, efficient recursive algorithm for constructing Bézier curves. Spatial displacements of a rigid body also form a Lie group, and can therefore be interpolated (in the Bezier s
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Aizawa, N., R. Chakrabarti, J. Segar, and Vladimir Dobrev. "Noncommutative Complex Manifolds via Coherent States of Quantum Groups and Supergroups." In LIE THEORY AND ITS APPLICATIONS IN PHYSICS: VIII International Workshop. AIP, 2010. http://dx.doi.org/10.1063/1.3460172.

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Müller, Andreas, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "A Higher Order Approximation Scheme on Lie Groups." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3497939.

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Brezov, Danail S., Clementina D. Mladenova, and Ivaïlo M. Mladenov. "Generalized Euler decompositions of some six-dimensional Lie groups." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'14). AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4902488.

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