Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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On geodesic mappings of threesymmetric spaces

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Published Apr 1, 2024
DOI https://doi.org/10.15673/pigc.v17i1.2647

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Volodymyr Kiosak
Odesa State Academy of Civil Engineering and Architecture, Didrihson st., 4, Odesa, 65029, Ukraine
http://orcid.org/0000-0002-7433-6709
Alexandr Prishlyak
Taras Shevchenko National University of Kyiv, 4th Academician Glushkov avenue, Kyiv, 03127, Ukraine
https://orcid.org/0000-0002-7164-807X
Olena Gudyreva
Kherson State Maritime Academy, Ushakova av., 20, Kherson, 73000, Ukraine
https://orcid.org/0000-0003-1841-8555

Abstract

The paper is devoted to the study of properties of pseudo-Riemannian spaces admitting nontrivial geodesic mappings. Necessary and sufficient conditions are found for A-threesymmetric spaces to admit nontrivial geodesic mappings. The research is carried out locally, in tensor form without restrictions to the sign of the metric tensor and the signature of the space.

Keywords:
symmetric spaces, A-threesymmetric spaces, geodesic mappings

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How to Cite
Kiosak, V., Prishlyak, A., & Gudyreva, O. (2024). On geodesic mappings of threesymmetric spaces. Proceedings of the International Geometry Center, 17(1), 56-64. https://doi.org/10.15673/pigc.v17i1.2647
Issue
Vol 17 No 1 (2024): A special issue devoted to academician Dmytro Grave
Section
Papers
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Author Biography

Volodymyr Kiosak, Odesa State Academy of Civil Engineering and Architecture, Didrihson st., 4, Odesa, 65029, Ukraine

Odesa State Academy of Civil Engineering and Architecture, Didrihson st., 4, Odesa, 65029, Ukraine

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