Rigidity theorem for compact Bach-flat manifolds with positive constant σ₂

2018/10/15 by Huiya He, He, Huiya, Hai‐Ping Fu +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1810.06302

openalex publication_date 2018/10/15 · openalex created_date 2018/10/26 · openalex updated_date 2026/07/28

Abstract

We prove that an n(≥ 4)-dimensional compact Bach-flat manifold with positive constant σ₂ is an Einstein manifold, provided that its Weyl curvature satisfies a suitable pinching condition.

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