A result on Ricci curvature and the second Betti number

2012/05/26 by Jianming Wan, Wan, Jianming
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1205.5878

openalex publication_date 2012/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the second Betti number of a compact Riemannian manifold vanishes under certain Ricci curved restriction.

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