Relations between Killing, Global Jacobi and Solenoidal Vector Fields
Differential Geometry
2017-12-29 v1
Abstract
In this article we investigate the relations between three kinds of vector fields with close connection to each other. A compact orientable manifold enables us to integrate over it, which is very different from noncompact manifolds, and this gives difference of those relationships between on compact and noncompact manifolds.
Cite
@article{arxiv.1712.09410,
title = {Relations between Killing, Global Jacobi and Solenoidal Vector Fields},
author = {Changjie Chen},
journal= {arXiv preprint arXiv:1712.09410},
year = {2017}
}