Covariant Derivatives of Extensor Fields

TL;DR

This paper develops a unified algebraic and analytical framework for covariant derivatives and related concepts of extensor fields, deriving key formulas to advance the mathematical understanding of these derivatives.

Contribution

It introduces a simple, unified theory of covariant, deformed, and relative covariant derivatives of extensor fields using advanced algebraic and analytical methods.

Findings

Derived several important formulas for covariant derivatives of extensor fields.

Established a unified theoretical framework for these derivatives.

Enhanced mathematical tools for studying extensor fields in differential geometry.

Abstract

A simple theory of the covariant derivatives, deformed derivatives and relative covariant derivatives of extensor fields is present using algebraic and analytical tools developed in previous papers. Several important formulas are derived.