Novel Invariants for Almost Geodesic Mappings of the Third Type

TL;DR

This paper introduces new invariants for a specific class of geometric mappings in non-symmetric affine spaces, expanding the understanding of invariance properties under these transformations.

Contribution

It presents the first invariants for almost geodesic mappings of the third type, especially for equitorsion cases without reciprocity.

Findings

Derived invariants for almost geodesic mappings of the third type

Extended invariance theory to non-symmetric affine connection spaces

Provided explicit formulas for invariants in specific mapping cases

Abstract

Two kinds of invariance for geometrical objects under transformations are involved in this paper. With respect to these kinds, we obtained novel invariants for almost geodesic mappings of the third type of a non-symmetric affine connection space in this paper. Our results are presented in two sections. In the Section 3, we obtained the invariants for the equitorsion almost geodesic mappings which do not have the property of reciprocity.