Rigidity results for closed vacuum static spaces

In this paper we studied rigidity results for closed vacuum static spaces. By using the maximum principle, we achieved rigidity theorems under some pointwise inequalities and showed that the squared norm of the Ricci curvature tensor was discrete.

Bibliographic Details
Main Authors: Guangyue Huang, Botao Wang
Format: Article
Language:English
Published: AIMS Press 2023-10-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231470?viewType=HTML