On geodesic mappings of threesymmetric spaces

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 restriction...

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Bibliographic Details
Main Authors: Volodymyr Kiosak, Olexandr Prishlyak, Olena Gudyreva
Format: Article
Language:English
Published: Odesa National University of Technology 2024-01-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:https://journals.ontu.edu.ua/index.php/geometry/article/view/2647
Description
Summary: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.
ISSN:2072-9812
2409-8906