Rigidity results for closed vacuum static spaces

Guangyue Huang; Botao Wang; Guangyue Huang; Botao Wang

doi:10.3934/math.20231470

AIMS Mathematics

2023, Volume 8, Issue 12: 28728-28737. doi: 10.3934/math.20231470

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Rigidity results for closed vacuum static spaces

Guangyue Huang ,
Botao Wang ^,

College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China

Received: 14 August 2023 Revised: 09 October 2023 Accepted: 15 October 2023 Published: 23 October 2023
MSC : 53C21, 53C25

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.
- Einstein,
- vacuum static space,
- zero radial Weyl curvature
Citation: Guangyue Huang, Botao Wang. Rigidity results for closed vacuum static spaces[J]. AIMS Mathematics, 2023, 8(12): 28728-28737. doi: 10.3934/math.20231470

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Abstract

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.

References

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