Proof of Chern's conjecture on affine manifolds

2020/02/08 by Ge, Jianquan
#53A15 #53C40 #57R20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2002.03105

Abstract

We prove an old conjecture of S. S. Chern that the Euler characteristic of a closed affine manifold equals to zero.

Related

• Proof of Chern conjecture for flat affine manifolds
• Lectures on the Euler characteristic of affine manifolds
• Invariant Measure and the Euler Characteristic of Projectively Flat Manifolds
• The generalized Chern conjecture for manifolds that are locally a product of surfaces
• Euler characteristic numbers of space-like manifolds