A Note on Incompressible Vector Fields

In this paper, we use incompressible vector fields for characterizing Killing vector fields. We show that on a compact Riemannian manifold, a nontrivial incompressible vector field has a certain lower bound on the integral of the Ricci curvature in the direction of the incompressible vector field if...

Full description

Bibliographic Details
Main Author: Nasser Bin Turki
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/8/1479