Proof of Chern conjecture for flat affine manifolds

2015/04/19 by Mihail Cocos, Cocos, Mihail
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1504.04852

openalex publication_date 2015/04/19 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We prove Chern conjecture, which states that the Euler characteristic vanishes for closed flat affine manifolds. Our key innovation is a deformation argument for the Euler form.

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