On geodesic mappings of threesymmetric spaces

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