Rigidity theorems for compact Bach-flat manifolds with positive constant scalar curvature

Haiping Fu; Jianke Peng

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arXiv · 1707.07236

Rigidity theorems for compact Bach-flat manifolds with positive constant scalar curvature

Haiping Fu·Jianke Peng

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Abstract

In this paper, we prove some rigidity theorems for compact Bach-flat $n$-manifold with the positive constant scalar curvature. In particular, our conditions in Theorem 1.4 have the additional properties of being sharp.

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Haiping Fu, Jianke Peng. 2017-07-23. Rigidity theorems for compact Bach-flat manifolds with positive constant scalar curvature. https://arxiv.org/abs/1707.07236

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