非紧梯度稳态 Ricci 孤子与 Ricci 平坦流形的若干刚性结果
微分几何
2016-09-13 v2
摘要
梯度稳态 Ricci 孤子是 Ricci 平坦流形的自然推广。在本文中，我们证明了具有非常数势函数的梯度稳态 Ricci 孤子的曲率间隙定理；以及 Ricci 平坦流形的曲率间隙定理，去除了已知结果中的体积增长假设。
引用
@article{arxiv.1311.4515,
title = {Some rigidity results for noncompact gradient steady Ricci solitons and Ricci-flat manifolds},
author = {Fei He},
journal= {arXiv preprint arXiv:1311.4515},
year = {2016}
}
备注
The result concerning ACyl manifolds was removed from the previous version since it can be generalized and does not depend on either Ricci soliton or Ricci-flat condition. 18 pages