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Relevant bibliographies by topics / Riemannian symmetric spaces

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Academic literature on the topic 'Riemannian symmetric spaces'

Author: Grafiati

Published: 8 June 2024

Last updated: 31 July 2025

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Journal articles on the topic "Riemannian symmetric spaces"

1

Berezovski, Volodymyr, Yevhen Cherevko, and Lenka Rýparová. "Conformal and Geodesic Mappings onto Some Special Spaces." Mathematics 7, no. 8 (2019): 664. http://dx.doi.org/10.3390/math7080664.

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In this paper, we consider conformal mappings of Riemannian spaces onto Ricci-2-symmetric Riemannian spaces and geodesic mappings of spaces with affine connections onto Ricci-2-symmetric spaces. The main equations for the mappings are obtained as a closed system of Cauchy-type differential equations in covariant derivatives. We find the number of essential parameters which the solution of the system depends on. A similar approach was applied for the case of conformal mappings of Riemannian spaces onto Ricci-m-symmetric Riemannian spaces, as well as geodesic mappings of spaces with affine conne

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Jimenez, J. A. "Riemannian 4-Symmetric Spaces." Transactions of the American Mathematical Society 306, no. 2 (1988): 715. http://dx.doi.org/10.2307/2000819.

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Jim{énez, J. A. "Riemannian $4$-symmetric spaces." Transactions of the American Mathematical Society 306, no. 2 (1988): 715. http://dx.doi.org/10.1090/s0002-9947-1988-0933314-6.

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Burstall, Francis, Simone Gutt, and John Rawnsley. "Twistor spaces for Riemannian symmetric spaces." Mathematische Annalen 295, no. 1 (1993): 729–43. http://dx.doi.org/10.1007/bf01444914.

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Petrović, Miloš Z., Mića S. Stanković, and Patrik Peška. "On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces." Mathematics 7, no. 7 (2019): 626. http://dx.doi.org/10.3390/math7070626.

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We consider conformal and concircular mappings of Eisenhart’s generalized Riemannian spaces. We prove conformal and concircular invariance of some tensors in Eisenhart’s generalized Riemannian spaces. We give new generalizations of symmetric spaces via Eisenhart’s generalized Riemannian spaces. Finally, we describe some properties of covariant derivatives of tensors analogous to Yano’s tensor of concircular curvature in Eisenhart symmetric spaces of various kinds.

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Chen, Bang-Yen, and Lieven Vanhecke. "Reflections and symmetries in compact symmetric spaces." Bulletin of the Australian Mathematical Society 38, no. 3 (1988): 377–86. http://dx.doi.org/10.1017/s000497270002774x.

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Point symmetries and reflections are two important transformations on a Riemannian manifold. In this article we study the interactions between point symmetries and reflections in a compact symmetric space when the reflections are global isometries.

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Kiosak, Volodymyr, Olexandr Lesechko, and Olexandr Latysh. "On geodesic mappings of symmetric pairs." Proceedings of the International Geometry Center 15, no. 3-4 (2023): 230–38. http://dx.doi.org/10.15673/tmgc.v15i3-4.2430.

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The paper treats properties of pseudo-Riemannian spaces admitting non-trivial geodesic mappings. A symmetric pair of pseudo-Riemannian spaces is a pair of spaces with coinciding values of covariant derivatives for their Riemann tensors. It is proved that the symmetric pair of pseudo-Riemannian spaces, which are not spaces of constant curvatures, are defined unequivocally by their geodesic lines. The research is carried out locally, using tensors, with no restrictions to the sign of the metric tensor and the signature of a space.

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Chu, Cho-Ho. "JORDAN SYMMETRIC SPACES." Asian-European Journal of Mathematics 02, no. 03 (2009): 407–15. http://dx.doi.org/10.1142/s1793557109000339.

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We introduce a class of Riemannian symmetric spaces, called Jordan symmetric spaces, which correspond to real Jordan triple systems and may be infinite dimensional. This class includes the symmetric R-spaces as well as the Hermitian symmetric spaces.

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Berndt, Jürgen, and Carlos Olmos. "On the index of symmetric spaces." Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, no. 737 (2018): 33–48. http://dx.doi.org/10.1515/crelle-2015-0060.

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AbstractLetMbe an irreducible Riemannian symmetric space. The index ofMis the minimal codimension of a (nontrivial) totally geodesic submanifold ofM. We prove that the index is bounded from below by the rank of the symmetric space. We also classify the irreducible Riemannian symmetric spaces whose index is less than or equal to 3.

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Kiosak, V., L. Kusik, and V. Isaiev. "Geodesic Ricci-symmetric pseudo-Riemannian spaces." Proceedings of the International Geometry Center 15, no. 2 (2022): 109–19. http://dx.doi.org/10.15673/tmgc.v15i2.2224.

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We introduced special pseudo-Riemannian spaces, called geodesic A-symmetric spaces, into consideration. It is proven that there are no geodesic symmetric spaces and no geodesic Ricci symmetric spaces, which differ from spaces of constant curvature and Einstein spaces respectively. The research is carried out locally, by tensor methods, without any limitations imposed on a metric and a sign.

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Dissertations / Theses on the topic "Riemannian symmetric spaces"

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Osipova, Daria. "Symmetric submanifolds in symmetric spaces." Thesis, University of Hull, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.342976.

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Yang, An. "Vector valued Poisson transforms on Riemannian symmetric spaces." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/33511.

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Araujo, Fatima. "Einstein homogeneous Riemannian fibrations." Thesis, University of Edinburgh, 2008. http://hdl.handle.net/1842/4375.

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This thesis is dedicated to the study of the existence of homogeneous Einstein metrics on the total space of homogeneous fibrations such that the fibers are totally geodesic manifolds. We obtain the Ricci curvature of an invariant metric with totally geodesic fibers and some necessary conditions for the existence of Einstein metrics with totally geodesic fibers in terms of Casimir operators. Some particular cases are studied, for instance, for normal base or fiber, symmetric fiber, Einstein base or fiber, for which the Einstein equations are manageable. We investigate the existence of such Ein

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Roby, Simon. "Résonances du Laplacien sur les fibrés vectoriels homogènes sur des espaces symétriques de rang réel un." Electronic Thesis or Diss., Université de Lorraine, 2021. http://www.theses.fr/2021LORR0129.

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On étudie les résonances de l’opérateur de Laplace agissant sur les sections d’un fibré vectoriel homogène sur un espace symétrique Riemannien de type non-compact. On suppose que l’espace symétrique est de rang un, mais la représentation irréductible τ du compact maximal K, qui définit le fibré vectoriel, est quelconque. On détermine alors les résonances. Si on suppose de plus que τ apparaît dans les représentations de la série principale sphérique, on détermine les représentations issues des résonances. Elles sont toutes irréductibles. On trouve leurs paramètres de Langlands, leurs fronts d’o

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Vasconcelos, Rosa Tayane de. "O tensor de Ricci e campos de killing de espaços simétricos." reponame:Repositório Institucional da UFC, 2017. http://www.repositorio.ufc.br/handle/riufc/25968.

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VASCONCELOS, Rosa Tayane de. O tensor de Ricci e campos de killing de espaços simétricos. 2017. 81 f. Dissertação (Mestrado em Matemática)- Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2017.<br>Submitted by Andrea Dantas (pgmat@mat.ufc.br) on 2017-09-18T13:45:50Z No. of bitstreams: 1 2017_dis_rtvasconcelos.pdf: 555452 bytes, checksum: 4ff6c8fb7950682913acabed03e9d3d7 (MD5)<br>Rejected by Rocilda Sales (rocilda@ufc.br), reason: Boa tarde, A Dissertação de ROSA TAYANE DE VASCONCELOS apresenta a alguns erros que devem corrigidos, os mesmos seguem listados abaixo: 1- EPÍGRAF

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Carvajales, Goyetche Leon Seibal. "Quantitative aspects of Anosov subgroups acting on symmetric spaces." Thesis, Sorbonne université, 2020. http://www.theses.fr/2020SORUS021.

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L’objet de cette thèse est l’étude du problème de comptage orbitale pour des couples symétriques pseudo-Riemanniens sous l’action des sous-groupes de type Anosov du groupe de Lie sous-jacent. Premièrement nous étudions ce problème pour le couple symétrique (PSO(p,q), PSO(p,q−1)) et un sous-groupe de PSO(p,q) de type projectivement Anosov . Nous regardons l’orbite d’une copie géodésique de l’espace symétrique Riemannien de PSO(p,q−1) dans l’espace symétrique Riemannien de PSO(p,q). Nous prouvons un comportement asymptotique purement exponentiel, lorsque t tend vers l’infini, pour le nombre d’él

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Parthasarathy, Aprameyan [Verfasser], and Pablo [Akademischer Betreuer] Ramacher. "Analysis on the Oshima compactification of a Riemannian symmetric space of non-compact type / Aprameyan Parthasarathy. Betreuer: Pablo Ramacher." Marburg : Philipps-Universität Marburg, 2013. http://d-nb.info/1032314087/34.

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Wang, Roy Chih Chung. "Adaptive Kernel Functions and Optimization Over a Space of Rank-One Decompositions." Thesis, Université d'Ottawa / University of Ottawa, 2017. http://hdl.handle.net/10393/36975.

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The representer theorem from the reproducing kernel Hilbert space theory is the origin of many kernel-based machine learning and signal modelling techniques that are popular today. Most kernel functions used in practical applications behave in a homogeneous manner across the domain of the signal of interest, and they are called stationary kernels. One open problem in the literature is the specification of a non-stationary kernel that is computationally tractable. Some recent works solve large-scale optimization problems to obtain such kernels, and they often suffer from non-identifiability iss

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Santos, Fábio Reis dos Santos. "Sobre a Geometria de Imersões Riemannianas." Universidade Federal da Paraíba, 2015. http://tede.biblioteca.ufpb.br:8080/handle/tede/8031.

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Submitted by Maike Costa (maiksebas@gmail.com) on 2016-03-23T11:16:42Z No. of bitstreams: 1 arquivototal.pdf: 1343904 bytes, checksum: dfca90c2164204a1513fc4a55eca4527 (MD5)<br>Made available in DSpace on 2016-03-23T11:16:43Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1343904 bytes, checksum: dfca90c2164204a1513fc4a55eca4527 (MD5) Previous issue date: 2015-05-26<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>Our purpose is to study the geometry of Riemannian immersions in certain semi- Riemannian manifolds. Initially, considering linearWeingarten hypersurfa

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Vollmer, Andreas [Verfasser], Vladimir Jurʹevič [Gutachter] Matveev, Vsevolod V. [Gutachter] Shevchishin, and Boris I. [Gutachter] Kruglikov. "First integrals in stationary and axially symmetric space-times and sub-riemannian structures / Andreas Vollmer ; Gutachter: Vladimir Ju. Matveev, Vsevolod V. Shevchishin, Boris I. Kruglikov." Jena : Friedrich-Schiller-Universität Jena, 2016. http://d-nb.info/1177612852/34.

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Books on the topic "Riemannian symmetric spaces"

1

Burstall, Francis E., and John H. Rawnsley. Twistor Theory for Riemannian Symmetric Spaces. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0095561.

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Borel, Armand. Semisimple Groups and Riemannian Symmetric Spaces. Hindustan Book Agency, 1998. http://dx.doi.org/10.1007/978-93-80250-92-2.

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Kauffman, R. M. Eigenfunction expansions, operator algebras, and Riemannian symmetric spaces. Addison Longman Ltd., 1996.

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4

Werner, Müller. L²-index of elliptic operators on manifolds with cusps of rank one. Akademie der Wissenschaften der DDR, Karl-Weierstrass-Institut für Mathematik, 1985.

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Burstall, Francis E. Twistor theory for Riemannian symmetric spaces: With applications to harmonic maps of Riemann surfaces. Springer-Verlag, 1990.

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Krotz, Bernhard. The emage of the heat kernel transform fon Riemannian symmetric spaces of the noncompact type. Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2005.

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Duggal, Krishan L. Symmetries of spacetimes and Riemannian manifolds. Kluwer Academic Publishers, 1999.

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Society, European Mathematical, ed. Fukaya categories and Picard-Lefschetz theory. European Mathematical Society, 2008.

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Borel, Armand. Semisimple Groups and Riemannian Symmetric Spaces. Hindustan Book Agency, 2011.

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10

Analysis on non-Riemannian symmetric spaces. Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 1986.

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Book chapters on the topic "Riemannian symmetric spaces"

1

Borel, Armand. "Riemannian Symmetric Spaces." In Texts and Readings in Mathematics. Hindustan Book Agency, 1998. http://dx.doi.org/10.1007/978-93-80250-92-2_4.

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Wolf, Joseph. "Riemannian symmetric spaces." In Harmonic Analysis on Commutative Spaces. American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/142/11.

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Elworthy, K. David, Yves Le Jan, and Xue-Mei Li. "Example: Riemannian Submersions and Symmetric Spaces." In The Geometry of Filtering. Springer Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0176-4_7.

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Burstall, Francis E., and John H. Rawnsley. "Twistor lifts over Riemannian symmetric spaces." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0095568.

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Verhóczki, László. "On Orbits of Symmetric Subgroups in Riemannian Symmetric Spaces." In New Developments in Differential Geometry, Budapest 1996. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-5276-1_34.

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Mashimo, Katsuya. "Totally Geodesic Surfaces of Riemannian Symmetric Spaces." In Springer Proceedings in Mathematics & Statistics. Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-55215-4_26.

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Berndt, Jürgen. "Totally Geodesic Submanifolds of Riemannian Symmetric Spaces." In Springer Proceedings in Mathematics & Statistics. Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-55215-4_4.

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Ban, E., M. Flensted-Jensen, and H. Schlichtkrull. "Basic Harmonic Analysis on Pseudo-Riemannian Symmetric Spaces." In Noncompact Lie Groups and Some of Their Applications. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1078-5_3.

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Borel, Armand. "The L 2-Cohomology of Negatively Curved Riemannian Symmetric Spaces." In Springer Collected Works in Mathematics. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-41240-0_7.

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Falkowski, B. J. "Levy-Schoenberg kernels on riemannian symmetric spaces of noncompact type." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0077172.

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Conference papers on the topic "Riemannian symmetric spaces"

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Goze, Michel, та Elisabeth Remm. "RIEMANNIAN Γ-SYMMETRIC SPACES". У Proceedings of the VIII International Colloquium. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814261173_0019.

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Klein, Sebastian. "TOTALLY GEODESIC SUBMANIFOLDS IN RIEMANNIAN SYMMETRIC SPACES." In Proceedings of the VIII International Colloquium. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814261173_0013.

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OKUDA, Takayuki. "GEODESICS OF RIEMANNIAN SYMMETRIC SPACES INCLUDED IN REFLECTIVE SUBMANIFOLDS." In 5th International Colloquium on Differential Geometry and its Related Fields. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813220911_0002.

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TASAKI, HIROYUKI. "CROFTON FORMULAE BY REFLECTIVE SUBMANIFOLDS IN RIEMANNIAN SYMMETRIC SPACES." In Proceedings of the 7th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701763_0025.

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GILKEY, PETER B., and STANA NIKČEVIĆ. "COMPLETE K-CURVATURE HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS 0-MODELED ON AN INDECOMPOSIBLE SYMMETRIC SPACE." In Proceedings in Honor of Professor K Sekigawa's 60th Birthday. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701701_0007.

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Pokas, S., and I. Bilokobylskyi. "Lie group of the second degree infinitesimal conformal transformations in a symmetric Riemannian space of the first class." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’21. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0100808.

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