Rigidity theorem for compact Bach-flat manifolds with positive constant $\sigma_2$

Huiya He; Haiping Fu

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arXiv · 1810.06302

Rigidity theorem for compact Bach-flat manifolds with positive constant $\sigma_2$

Huiya He·Haiping Fu

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Abstract

We prove that an n($\geq$ 4)-dimensional compact Bach-flat manifold with positive constant $\sigma_2$ is an Einstein manifold, provided that its Weyl curvature satisfies a suitable pinching condition.

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BibTeX RIS

Huiya He, Haiping Fu. 2018-10-15. Rigidity theorem for compact Bach-flat manifolds with positive constant $\sigma_2$. https://arxiv.org/abs/1810.06302

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