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What is Geodesic Mappings in Pseudosymmetric Manifolds about?

This document discusses geodesic mappings of pseudosymmetric semi-Riemannian manifolds, providing definitions and properties of relevant tensor fields. It presents a theorem stating that if a pseudosymmetric manifold admits a non-trivial geodesic mapping onto another manifold, then the latter is also pseudosymmetric, and offers a proof for this theorem. The paper includes detailed mathematical formulations and relationships between curvature tensors and geodesic mappings.

Author

math.bijan

Language

EN