关于随机完备子流形
微分几何
2011-01-21 v2
摘要
利用Pigola、Rigoli和Setti的一个深刻判据，我们证明了随机完备黎曼流形N中的测地完备、恰当浸入子流形M是随机完备的。这意味着弱Omori-Yau极大值原理在M上成立。作为几何应用，我们证明了恰当浸入的柱面有界子流形的截面曲率估计。
关键词
引用
@article{arxiv.1012.4439,
title = {On stochastically complete submanifolds},
author = {G. Pacelli Bessa and Luquesio P. Jorge},
journal= {arXiv preprint arXiv:1012.4439},
year = {2011}
}
备注
This paper has been withdrawn by the authors. The theorem that we seemed to prove is false. There are stochastically incomplete properly immersed in $\mathbb{R}^{n}$