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Rigidity results for compact V-static space

Guangyue Huang|Botao Wang
대한수학회 (The Korean Mathematical Society)|2024.07|대한수학회보 (Bulletin of the KMS)|제61권 제4호|pp. 933-948|DOI 10.4134/BKMS.b230502

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키워드

EinsteinV-static spaceszero radial Weyl curvature
주제분류수학

초록

For $(n\geq5)$-dimensional compact V-static spaces with zero radial Weyl curvature, we prove that $\nabla f$ is an eigenvector of Ricci tensor. Furthermore, we also achieve that $(M^n,g,f)$ is T-flat provided $K\frac{|\nabla f|^{2}}{f}>0$.

Abstract

For $(n\geq5)$-dimensional compact V-static spaces with zero radial Weyl curvature, we prove that $\nabla f$ is an eigenvector of Ricci tensor. Furthermore, we also achieve that $(M^n,g,f)$ is T-flat provided $K\frac{|\nabla f|^{2}}{f}>0$.

참고문헌 (18)

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