BASIC INVARIANTS of Geometric Mappings

TL;DR

This paper generalizes classical invariants like Thomas' projective parameter and Weyl's projective tensor, providing new generators for the vector spaces of invariants in geometric mappings.

Contribution

It introduces generalized invariants for geodesic and conformal mappings and derives generators for their vector spaces, extending prior classical results.

Findings

Generalization of Thomas projective parameter

Extension of Weyl projective tensor

Derivation of generators for invariants' vector spaces

Abstract

This study is motivated by the researches in the field of invariants of geodesic and conformal mappings presented in (T. Y. Thomas, [22]) and (H. Weyl, [25]). The Thomas projective parameter and the Weyl projective tensor are generalized in this article. Generators for vector spaces of invariants of geometric mappings are obtained in here.