Projective Curvature Tensors of Second Type Almost Geodesic Mappings

TL;DR

This paper investigates invariants of second type almost geodesic mappings in non-symmetric affine connection spaces, generalizing classical projective parameters and tensors using various computational methods.

Contribution

It introduces generalized invariants, including the Thomas projective parameter and Weyl tensor, for second type almost geodesic mappings in non-symmetric affine spaces.

Findings

Derived new invariants for these mappings

Generalized classical projective parameters and tensors

Provided computational methods for invariants

Abstract

We consider equitorsion second type almost geodesic mappings of a non-symmetric affine connection space in this article. Using different computational methods, we obtained some invariants of these mappings. Last generalized Thomas projective parameter and Weyl projective tensor as invariants of a second type almost geodesic mapping of a non-symmetric affine connection space are further generalized here.