Vacuum Static Spaces with Positive Isotropic Curvature

2021/03/29 by Seungsu Hwang, Hwang, Seungsu, Gabjin Yun +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Primary 53C25 #Secondary 53C20

paper · pdf · doi:10.48550/arxiv.2103.15818

openalex publication_date 2021/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study vacuum static spaces with positive isotropic curvature. We prove that if (Mⁿ, g, f), n ≥ 4, is a compact vacuum static space with positive isotropic curvature, then up to finite cover, M is isometric to a sphere \Bbb Sⁿ or the product of a circle \Bbb S¹ with an (n-1)-dimensional sphere \Bbb S^n-1.

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• Vacuum static spaces with harmonic curvature
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• Vacuum Static Spaces with Harmonic Curvature
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