A Divergence Theorem for non-Compact Riemannian Manifolds: a Dynamical Approach

TL;DR

This paper introduces new divergence theorems for complete non-compact Riemannian manifolds using a dynamical approach, expanding the theoretical understanding of geometric analysis in such spaces.

Contribution

It presents a novel dynamical method to establish divergence theorems on non-compact Riemannian manifolds, which was not previously available.

Findings

New divergence theorems proved for non-compact manifolds

Dynamical approach offers a different perspective from classical methods

Potential applications in geometric analysis and mathematical physics

Abstract

In this paper we use a dynamical approach to prove some new divergence theorems on complete non-compact Riemannian manifolds.