收缩 Ricci 孤立子上的尖锐 Li-Yau 等式及其应用
微分几何
2020-09-22 v2
摘要
我们证明了在收缩 Ricci 孤立子上，共轭热核满足尖锐 Li-Yau 等式，且无需任何曲率或体积假设。该量给出了若干估计，使我们能够对作为 Ricci 流 I 型奇点模型出现的四维非紧收缩 Ricci 孤立子进行分类。
引用
@article{arxiv.2009.06951,
title = {The sharp Li-Yau equality on Shrinking Ricci Solitons with applications},
author = {Jason Ledwidge},
journal= {arXiv preprint arXiv:2009.06951},
year = {2020}
}
备注
17 pages. The first version claimed the classification was true in all dimensions. More information and results on the conjugate heat kernel given. Removal of asymptotic cone section from the previous version