Proof of Chern conjecture for flat affine manifolds
Differential Geometry
2025-12-09 v12
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.
Keywords
Cite
@article{arxiv.1504.04852,
title = {Proof of Chern conjecture for flat affine manifolds},
author = {Mihail Cocos},
journal= {arXiv preprint arXiv:1504.04852},
year = {2025}
}