Vacuum Static Spaces with Harmonic Curvature
Differential Geometry
2021-02-03 v1
Abstract
In this paper, we classify -dimensional () vacuum static spaces with harmonic curvature, thus extending the -dimensional work by Kim-Shin \cite{KS}. As a consequence, we provide new counterexamples to the Fischer-Marsden conjecture on compact vacuum static spaces.
Keywords
Cite
@article{arxiv.2102.01280,
title = {Vacuum Static Spaces with Harmonic Curvature},
author = {Fengjiang Li},
journal= {arXiv preprint arXiv:2102.01280},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2101.12681