Relevant bibliographies by topics / Riemannian geometry

Contents

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

Academic literature on the topic 'Riemannian geometry'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Riemannian geometry"

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Rylov, Yuri A. "Geometry without topology as a new conception of geometry." International Journal of Mathematics and Mathematical Sciences 30, no. 12 (2002): 733–60. http://dx.doi.org/10.1155/s0161171202012243.

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A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T-geometric one are considered. T-geometry is built only on the basis of information included in the metric (distance between two points). Such geometric concepts as dimension, manifold, metric tensor, curve are fundamental in the Riemannian conception of geometry, and they are derivative in the T-geometric one. T-geometry is the simplest geometric conception (essentially, only finite point sets are investigated) and simultaneously, it is the most general one. It is insensitive to the s
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Wu, H., and Wilhelm Klingenberg. "Riemannian Geometry." American Mathematical Monthly 92, no. 7 (1985): 519. http://dx.doi.org/10.2307/2322529.

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Lord, Nick, M. P. do Carmo, S. Gallot, et al. "Riemannian Geometry." Mathematical Gazette 79, no. 486 (1995): 623. http://dx.doi.org/10.2307/3618122.

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Mrugała, R. "Riemannian geometry." Reports on Mathematical Physics 27, no. 2 (1989): 283–85. http://dx.doi.org/10.1016/0034-4877(89)90011-6.

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Shen, Zhongmin. "On Some Non-Riemannian Quantities in Finsler Geometry." Canadian Mathematical Bulletin 56, no. 1 (2013): 184–93. http://dx.doi.org/10.4153/cmb-2011-163-4.

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AbstractIn this paper we study several non-Riemannian quantities in Finsler geometry. These non- Riemannian quantities play an important role in understanding the geometric properties of Finsler metrics. In particular, we study a new non-Riemannian quantity defined by the S-curvature. We show some relationships among the flag curvature, the S-curvature, and the new non-Riemannian quantity.
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Bhatia, Rajendra, and John Holbrook. "Riemannian geometry and matrix geometric means." Linear Algebra and its Applications 413, no. 2-3 (2006): 594–618. http://dx.doi.org/10.1016/j.laa.2005.08.025.

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Ehm, Werner, and Jiří Wackermann. "Geometric–optical illusions and Riemannian geometry." Journal of Mathematical Psychology 71 (April 2016): 28–38. http://dx.doi.org/10.1016/j.jmp.2016.01.005.

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García-Río, Eduardo, and M. Elena Vázquez-Abal. "Geodesic reflections in semi-Riemannian geometry." Czechoslovak Mathematical Journal 43, no. 4 (1993): 583–97. http://dx.doi.org/10.21136/cmj.1993.128439.

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M.Osman, Mohamed. "Differentiable Riemannian Geometry." International Journal of Mathematics Trends and Technology 29, no. 1 (2016): 45–55. http://dx.doi.org/10.14445/22315373/ijmtt-v29p508.

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Dimakis, Aristophanes, and Folkert Müller-Hoissen. "Discrete Riemannian geometry." Journal of Mathematical Physics 40, no. 3 (1999): 1518–48. http://dx.doi.org/10.1063/1.532819.

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Dissertations / Theses on the topic "Riemannian geometry"

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Lord, Steven. "Riemannian non-commutative geometry /." Title page, abstract and table of contents only, 2002. http://web4.library.adelaide.edu.au/theses/09PH/09phl8661.pdf.

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Collin, Jan-Ola. "The Existence of Riemannian Metrics on Real Vector Bundles." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-151964.

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In this thesis we present a self-contained proof of the existence of Riemannian metrics on real vector bundles.<br>I denna uppsats presenterar vi ett självständigt bevis på existensen av Riemannskametriker på reella vektorbuntar.
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Hall, Stuart James. "Numerical methods and Riemannian geometry." Thesis, Imperial College London, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.538692.

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Ferreira, Ana Cristina Castro. "Riemannian geometry with skew torsion." Thesis, University of Oxford, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.526550.

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Wu, Bao Qiang. "Geometry of complete Riemannian Submanifolds." Lyon 1, 1998. http://www.theses.fr/1998LYO10064.

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La géométrie rienmannienne des sous-variétés a connu ces cinquante dernières années un essor considérable, essentiellement dans le cas compact. Cette thèse a pour but de développer des outils consacrés à l'étude des sous-variétés riemanniennes complètes. Ces outils sont proches de ceux développés par Bochner et Lichnérowicz. Ils sont particulièrement adaptés aux problèmes de rigidité de certains types de sous-variétés complètes : celles qui sont à courbure moyenne constante dans un espace hyperbolique. Il est ainsi possible d'obtenir un théorème de classification de ces sous-variétés. D'autres
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Boarotto, Francesco. "Topics in sub-Riemannian geometry." Doctoral thesis, SISSA, 2016. http://hdl.handle.net/20.500.11767/4881.

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This thesis is concerned with three different problems in sub-Riemannian geometry faced during my PhD. The first one is a problem in differential geometry and is about the local conformal classification of a certain class of sub-Riemannian structures. In the second one we deal with topology, and our main result establish some path-fibration properties for the Endpoint map. In the third and last problem, we begin the development of some variational calculus around critical points of the endpoint map, called abnormal controls, and we estabilish a counterpart of the classical Morse deformation te
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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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Raineri, Emanuele. "Quantum Riemannian geometry of finite sets." Thesis, Queen Mary, University of London, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.414738.

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Habermann, Karen. "Geometry of sub-Riemannian diffusion processes." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/271855.

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Sub-Riemannian geometry is the natural setting for studying dynamical systems, as noise often has a lower dimension than the dynamics it enters. This makes sub-Riemannian geometry an important field of study. In this thesis, we analysis some of the aspects of sub-Riemannian diffusion processes on manifolds. We first focus on studying the small-time asymptotics of sub-Riemannian diffusion bridges. After giving an overview of recent work by Bailleul, Mesnager and Norris on small-time fluctuations for the bridge of a sub-Riemannian diffusion, we show, by providing a specific example, that, unlike
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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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Books on the topic "Riemannian geometry"

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Gallot, Sylvestre, Dominique Hulin, and Jacques Lafontaine. Riemannian Geometry. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-97242-3.

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Petersen, Peter. Riemannian Geometry. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4757-6434-5.

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Carmo, Manfredo Perdigão do. Riemannian Geometry. Birkhäuser Boston, 1992. http://dx.doi.org/10.1007/978-1-4757-2201-7.

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Gallot, Sylvestre, Dominique Hulin, and Jacques Lafontaine. Riemannian Geometry. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18855-8.

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Petersen, Peter. Riemannian Geometry. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-26654-1.

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Gallot, Sylvestre, Dominique Hulin, and Jacques Lafontaine. Riemannian Geometry. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-97026-9.

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Pfahler, Eisenhart Luther. Riemannian geometry. Princeton University Press, 1997.

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Peter, Petersen. Riemannian geometry. Springer, 1998.

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Gallot, S. Riemannian geometry. 2nd ed. Springer-Verlag, 1990.

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Sakai, T. Riemannian geometry. American Mathematical Society, 1996.

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Book chapters on the topic "Riemannian geometry"

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Bambi, Cosimo. "Riemannian Geometry." In Introduction to General Relativity. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1090-4_5.

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Conlon, Lawrence. "Riemannian Geometry." In Differentiable Manifolds. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4757-2284-0_10.

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Aubin, Thierry. "Riemannian Geometry." In Some Nonlinear Problems in Riemannian Geometry. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-13006-3_1.

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Kumaresan, S. "Riemannian Geometry." In A Course in Differential Geometry and Lie Groups. Hindustan Book Agency, 2002. http://dx.doi.org/10.1007/978-93-86279-08-8_5.

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Gadea, P. M., and J. Muñoz Masqué. "Riemannian Geometry." In Analysis and Algebra on Differentiable Manifolds. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-3564-6_6.

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Koch, Helmut. "Riemannian geometry." In Introduction to Classical Mathematics I. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3218-3_14.

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McInerney, Andrew. "Riemannian Geometry." In Undergraduate Texts in Mathematics. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7732-7_5.

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Chow, Bennett, Peng Lu, and Lei Ni. "Riemannian geometry." In Hamilton’s Ricci Flow. American Mathematical Society, 2006. http://dx.doi.org/10.1090/gsm/077/01.

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Gadea, Pedro M., Jaime Muñoz Masqué, and Ihor V. Mykytyuk. "Riemannian Geometry." In Analysis and Algebra on Differentiable Manifolds. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-5952-7_6.

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Hassani, Sadri. "Riemannian Geometry." In Mathematical Physics. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01195-0_37.

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Conference papers on the topic "Riemannian geometry"

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Mohammed, Sajjad Kadhim, Duaa Atallah Khader, Ismail Hburi, Hasan Fahad Kazal, and Basim K. J. Al-Shammari. "A Riemannian Geometry-based Hybrid Beamforming for mmWave Systems." In 2025 International Conference on Computer Science and Software Engineering (CSASE). IEEE, 2025. https://doi.org/10.1109/csase63707.2025.11054020.

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Zhuo, Fanbo, and Fengzhen Tang. "Riemannian Geometry Based Frequency Band Optimization in Motor Imagery Classification." In 2024 IEEE 14th International Conference on CYBER Technology in Automation, Control, and Intelligent Systems (CYBER). IEEE, 2024. http://dx.doi.org/10.1109/cyber63482.2024.10748767.

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Amin, Md Nur, and Alexander Jesser. "Riemannian Geometry for Fairness in Attention Mechanisms of Language Models." In 2025 19th International Conference on Semantic Computing (ICSC). IEEE, 2025. https://doi.org/10.1109/icsc64641.2025.00039.

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Zhuo, Fanbo, Bo Lv, and Fengzhen Tang. "Time Window Optimization for Riemannian Geometry-based Motor Imagery EEG Classification." In 2024 46th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC). IEEE, 2024. https://doi.org/10.1109/embc53108.2024.10782640.

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Hirayama, Yoshiki, Takuto Sakuma, and Shohei Kato. "Hybrid EEG-NIRS BCI using Feature Extraction based on Riemannian Geometry." In 2024 IEEE 13th Global Conference on Consumer Electronics (GCCE). IEEE, 2024. https://doi.org/10.1109/gcce62371.2024.10760796.

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Ronai, Or, Yuval Sitton, Amitay Bar, and Ronen Talmon. "RTF Estimation Using Riemannian Geometry for Speech Enhancement in the Presence of Interferences." In ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2025. https://doi.org/10.1109/icassp49660.2025.10888479.

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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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Han, Xiangke, Xiaobo Guo, and Shifeng Ruan. "Multiclass Somatosensory Selective Attention BCI Classification Based on Riemannian Geometry Approach Combing Time-Frequency Sub-Band Selection and Feature Reduction." In 2024 IEEE 8th International Conference on Vision, Image and Signal Processing (ICVISP). IEEE, 2024. https://doi.org/10.1109/icvisp64524.2024.10959405.

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GMIRA, B., and L. VERSTRAELEN. "A CURVATURE INEQUALITY FOR RIEMANNIAN SUBMANIFOLDS IN A SEMI–RIEMANNIAN SPACE FORM." In Geometry and Topology of Submanifolds IX. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789812817976_0016.

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Moran, William, Stephen D. Howard, Douglas Cochran, and Sofia Suvorova. "Sensor management via riemannian geometry." In 2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton). IEEE, 2012. http://dx.doi.org/10.1109/allerton.2012.6483240.

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