$3$-dimensional complete vacuum static spaces
Differential Geometry
2023-07-13 v1
Abstract
In this paper, we study complete Vacuum Static Spaces. A complete classification of 3-dimensional complete Vacuum Static Spaces with non-negative scalar curvature and constant squared norm of Ricci curvature tensor is given by making use of the generalized maximum principle.
Keywords
Cite
@article{arxiv.2307.05989,
title = {$3$-dimensional complete vacuum static spaces},
author = {Qing-Ming Cheng and Guoxin Wei},
journal= {arXiv preprint arXiv:2307.05989},
year = {2023}
}
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