Invariants of Third Type Almost Geodesic Mappings of Generalized Riemannian Space

TL;DR

This paper investigates the transformation rules of Christoffel symbols under third type almost geodesic mappings in generalized Riemannian spaces, leading to the discovery of new invariants analogous to classical projective parameters and tensors.

Contribution

It introduces new invariants for third type almost geodesic mappings, expanding the understanding of geometric transformations in generalized Riemannian spaces.

Findings

Derived transformation rules for Christoffel symbols.

Identified new invariants analogous to Thomas and Weyl tensors.

Enhanced understanding of geometric invariants in generalized Riemannian geometry.

Abstract

We studied rules of transformations of Christoffel symbols under third type almost geodesic mappings in this paper. From this research, we obtained some new invariants of these mappings. These invariants are analogies of Thomas projective parameter and Weyl projective tensor.