关于仿射流形上陈省身猜想的证明
微分几何
2020-07-28 v2
摘要
我们证明了 S. S. Chern 的一个古老猜想:闭仿射流形的欧拉示性等于零。
引用
@article{arxiv.2002.03105,
title = {Proof of Chern's conjecture on affine manifolds},
author = {Jianquan Ge},
journal= {arXiv preprint arXiv:2002.03105},
year = {2020}
}
备注
There is a minor error in the Hessian representation in Lemma 2.1. found by Andrea Clini on February 17 (I was aware of this a month later), which maked the author carefully revise the whole paper and find there a key error in the commutation of the limits at the end of the proof. Although this paper is withdrawed now to avoid some misunderstanding, I'm still trying to overcome this error