某类稳态梯度里奇孤立子标量曲率的精确下界
微分几何
2011-04-12 v1
摘要
我们证明,对于满足里奇张量平方范数与标量曲率平方之比不超过二分之一的稳态梯度里奇孤立子,其标量曲率以固定点距离函数二分之一的双曲正割为下界。
引用
@article{arxiv.1104.1889,
title = {A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons},
author = {Manuel Fernandez-Lopez and Eduardo Garcia-Rio},
journal= {arXiv preprint arXiv:1104.1889},
year = {2011}
}