Vacuum Static Spaces with Harmonic Curvature

Published 2 Feb 2021 in math.DG | (2102.01280v1)

Abstract: In this paper, we classify $n$-dimensional ($n\geq 5$) vacuum static spaces with harmonic curvature, thus extending the $4$-dimensional work by Kim-Shin \cite{KS}. As a consequence, we provide new counterexamples to the Fischer-Marsden conjecture on compact vacuum static spaces.

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Fengjiang Li

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