具有非正外蕴曲率的子流形
微分几何
2015-07-10 v1
摘要
我们证明，对于其上 Hessian 算子的 Omori-Yau 弱极大值原理成立、且余维数较低并被小半径柱体包围的完备子流形，必定存在富含大正外蕴曲率的点。余维数越低，此类点越丰富。半径越小，此类曲率越大。本工作统一并推广了先前关于具有非正外蕴曲率的子流形的若干结果。
引用
@article{arxiv.1507.02523,
title = {Submanifolds with nonpositive extrinsic curvature},
author = {Samuel Canevari and Guilherme Machado de Freitas and Fernando Manfio},
journal= {arXiv preprint arXiv:1507.02523},
year = {2015}
}
备注
20 pages. arXiv admin note: text overlap with arXiv:0907.5025 by other authors