Academic literature on the topic 'Riemannian spaces'

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Journal articles on the topic "Riemannian spaces"

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Kath, I. "Pseudo-RiemannianT-duals of compact Riemannian homogeneous spaces." Transformation Groups 5, no. 2 (2000): 157–79. http://dx.doi.org/10.1007/bf01236467.

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Aleksandrov, A. D., V. N. Berestovskii, and I. G. Nikolaev. "Generalized Riemannian spaces." Russian Mathematical Surveys 41, no. 3 (1986): 1–54. http://dx.doi.org/10.1070/rm1986v041n03abeh003311.

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Kantor, I. L., A. I. Sirota, and A. S. Solodovnikov. "Bisymmetric Riemannian spaces." Izvestiya: Mathematics 59, no. 5 (1995): 963–70. http://dx.doi.org/10.1070/im1995v059n05abeh000043.

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Plaut, Conrad. "Almost Riemannian spaces." Journal of Differential Geometry 34, no. 2 (1991): 515–37. http://dx.doi.org/10.4310/jdg/1214447219.

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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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Minčić, S. M., and L. S. Velimirović. "On generalized Riemannian spaces containing Riemannian subspaces." Russian Mathematics 51, no. 11 (2007): 30–34. http://dx.doi.org/10.3103/s1066369x07110047.

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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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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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Popov, Vladimir A. "Locally Isometric Riemannian Analytic Spaces." UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES, no. 4-1 (216-1) (December 28, 2022): 55–64. http://dx.doi.org/10.18522/1026-2237-2022-4-1-55-64.

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Classes of locally isometric Riemannian analytic manifolds are studied. A generalization of the concept of completeness is given. We consider the Lie algebra 𝔤 of all Killing vector fields of a Riemannian analytic manifold, its stationary subalgebra 𝔥 the simply connected Lie group 𝐺 corresponding to the Lie algebra 𝔤, and the subgroup 𝐻 corresponding to the Lie subalgebra 𝔥. In the absence of a center in the algebra 𝔤 the concept of a quasi-complete (compressed) manifold is introduced. An oriented Riemannian analytic manifold whose vector field algebra has zero center is said to be quasi-comp
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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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Dissertations / Theses on the topic "Riemannian spaces"

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Palmer, Ian Christian. "Riemannian geometry of compact metric spaces." Diss., Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/34744.

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A construction is given for which the Hausdorff measure and dimension of an arbitrary abstract compact metric space (X, d) can be encoded in a spectral triple. By introducing the concept of resolving sequence of open covers, conditions are given under which the topology, metric, and Hausdorff measure can be recovered from a spectral triple dependent on such a sequence. The construction holds for arbitrary compact metric spaces, generalizing previous results for fractals, as well as the original setting of manifolds, and also holds when Hausdorff and box dimensions differ---in particular, it does n
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Kashani, S. M. B. "Isoparametric submanifolds in pseudo-Riemannian spaces." Thesis, University of Leeds, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383957.

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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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Becker, Christian. "On the Riemannian geometry of Seiberg-Witten moduli spaces." Phd thesis, [S.l. : s.n.], 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=975744771.

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Gentile, Alessandro. "Geodesics and horizontal-path spaces in sub-Riemannian geometry." Doctoral thesis, SISSA, 2014. http://hdl.handle.net/20.500.11767/3901.

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Christiansen, Tom. "Stochastic calculus in Riemannian polyhedra and martingales in metric spaces." [S.l.] : [s.n.], 2007. http://deposit.ddb.de/cgi-bin/dokserv?idn=983734232.

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Alekseevsky, Dmitri, Andreas Kriegl, Mark Losik, Peter W. Michor, and Peter Michor@esi ac at. "The Riemannian Geometry of Orbit Spaces. The Metric, Geodesics, and." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi997.ps.

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Lundmark, Hans. "Newton systems of cofactor type in Euclidean and Riemannian spaces /." Linköping : Univ, 2001. http://www.bibl.liu.se/liupubl/disp/disp2001/tek719s.pdf.

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Books on the topic "Riemannian spaces"

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Gromov, Mikhael. Metric structures for Riemannian and non-Riemannian spaces. Birkhäuser, 1999.

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Tuschmann, Wilderich, and David J. Wraith. Moduli Spaces of Riemannian Metrics. Springer Basel, 2015. http://dx.doi.org/10.1007/978-3-0348-0948-1.

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Hebey, Emmanuel. Sobolev Spaces on Riemannian Manifolds. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/bfb0092907.

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Hebey, Emmanuel. Sobolev spaces on Riemannian manifolds. Springer-Verlag, 1996.

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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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Berndt, Jürgen. Generalized Heisenberg groups and Damek-Ricci harmonic spaces. Springer-Verlag, 1995.

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Tromba, Anthony J. Teichmüller theory in Riemannian geometry. Birkhäuser Verlag, 1992.

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Howard, Ralph. The kinematic formula in Riemannian homogeneous spaces. American Mathematical Society, 1993.

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Bao, David Dai-Wai. A sampler of Riemann-Finsler geometry. Cambridge University Press, 2010.

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Book chapters on the topic "Riemannian spaces"

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Carmo, Manfredo Perdigão do. "Spaces of Constant Curvature." In Riemannian Geometry. Birkhäuser Boston, 2013. http://dx.doi.org/10.1007/978-1-4757-2201-7_9.

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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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Vittorio, Nicola. "Pseudo-Riemannian Spaces." In An Overview of General Relativity and Space-Time. CRC Press, 2022. http://dx.doi.org/10.1201/9781003141259-4.

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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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Ibragimov, Nail H. "Motions in Riemannian Spaces." In Transformation Groups Applied to Mathematical Physics. Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5243-0_2.

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Postnikov, M. M. "Lagrangians in Riemannian Spaces." In Encyclopaedia of Mathematical Sciences. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04433-9_11.

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Berestovskij, V. N., and I. G. Nikolaev. "Multidimensional Generalized Riemannian Spaces." In Geometry IV. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-02897-1_2.

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Gromov, Mikhael. "Carnot-Carathéodory spaces seen from within." In Sub-Riemannian Geometry. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9210-0_2.

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Aubin, Thierry. "Sobolev Spaces." In Some Nonlinear Problems in Riemannian Geometry. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-13006-3_2.

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Shen, Zhongmin. "Non-Riemannian Quantities." In Differential Geometry of Spray and Finsler Spaces. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-015-9727-2_7.

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Conference papers on the topic "Riemannian spaces"

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Wu, Han, Yuehua Cheng, Bin Jiang, Ziquan Yu, and Hao Sun. "Fault Diagnosis of UAVs via Riemannian Manifold Representation Model and Generalized Learning Riemannian Space Quantization." In 2025 Joint International Conference on Automation-Intelligence-Safety (ICAIS) & International Symposium on Autonomous Systems (ISAS). IEEE, 2025. https://doi.org/10.1109/icaisisas64483.2025.11051371.

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Tibermacine, Ahmed, Imad Eddine Tibermacine, Meftah Zouai, and Abdelaziz Rabehi. "EEG Classification Using Contrastive Learning and Riemannian Tangent Space Representations." In 2024 International Conference on Telecommunications and Intelligent Systems (ICTIS). IEEE, 2024. https://doi.org/10.1109/ictis62692.2024.10894645.

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Jaquier, Noémie, Leonel Rozo, and Tamim Asfour. "Unraveling the Single Tangent Space Fallacy: An Analysis and Clarification for Applying Riemannian Geometry in Robot Learning." In 2024 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2024. http://dx.doi.org/10.1109/icra57147.2024.10611701.

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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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Deli Zhao, Zhouchen Lin, and Xiaoou Tang. "Classification via semi-Riemannian spaces." In 2008 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2008. http://dx.doi.org/10.1109/cvpr.2008.4587346.

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Kamienieva, A., O. Gudyreva, and S. Bykova. "On special pseudo-Riemannian spaces." 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/10.1063/5.0100800.

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Vashpanova, N., T. Podousova, and Ju Fedchenko. "Canonical deformations of pseudo-Riemannian spaces." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’19. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5130797.

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Fedchenko, Yu, I. Ogorodnichuk, and A. Ugol’nikov. "Pseudo-Riemannian spaces with semi-reducible metrics." 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/10.1063/5.0100795.

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Cruzeiro, Ana Bela, and Xicheng Zhang. "Ornstein-Uhlenbeck semigroups on Riemannian path spaces." In Proceedings of the First Sino-German Conference on Stochastic Analysis (A Satellite Conference of ICM 2002). WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702241_0009.

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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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Reports on the topic "Riemannian spaces"

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Aminov, Yurij. The Problem of Stability of Minimal Submanifolds in Riemannian and Pseudo-Riemannian Spaces. GIQ, 2012. http://dx.doi.org/10.7546/giq-2-2001-7-32.

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Birman, Graciela Silvia. About the Densities for Straight Lines in Semi-Riemannian Spaces. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-14-2009-1-11.

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Ganchev, Georgi. Riemannian Curvatures of the Four Basic Classes of Real Hypersurfaces of a Complex Space Form. GIQ, 2012. http://dx.doi.org/10.7546/giq-3-2002-238-248.

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Blaha, Georges. Generalized Latitude and Longitude in a General Riemannian Space, with a Specialization for Hotine's (Omega, Phi, Nu) Coordinate System. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada235584.

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