Covariant Derivatives of Multivector and Multiform Fields

TL;DR

This paper introduces a straightforward algebraic and analytical framework for covariant derivatives of multivector and multiform fields, expanding the mathematical tools available for differential geometry.

Contribution

It presents a new, simplified theory of covariant derivatives for multivector and multiform fields using algebraic and analytical methods.

Findings

Develops a unified approach to covariant derivatives

Provides algebraic tools for multivector and multiform calculus

Simplifies existing theories of covariant derivatives

Abstract

A simple theory of the covariant derivatives, deformed derivatives and relative covariant derivatives of multivector and multiform fields is presented using algebraic and analytical tools developed in previous papers.