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arXiv · 2103.15818

Vacuum Static Spaces with Positive Isotropic Curvature

Seungsu Hwang·Gabjin Yun
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Abstract

In this paper, we study vacuum static spaces with positive isotropic curvature. We prove that if $(M^n, g, f)$, $n \ge 4$, is a compact vacuum static space with positive isotropic curvature, then up to finite cover, $M$ is isometric to a sphere ${\Bbb S}^n$ or the product of a circle ${\Bbb S}^1$ with an $(n-1)$-dimensional sphere ${\Bbb S}^{n-1}$.

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Seungsu Hwang, Gabjin Yun. 2021-03-29. Vacuum Static Spaces with Positive Isotropic Curvature. https://arxiv.org/abs/2103.15818

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