Mean curvature flow with pinched curvature integral

被引：0
|
作者：
Han, Yongheng [1 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, 96 Jinzhai Rd, Hefei 230026, Anhui, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2025年 / 99卷
关键词：
Mean curvature flows; epsilon-regularity; Curvature estimate; UNIQUENESS; THEOREMS;
D O I：
10.1016/j.difgeo.2025.102244
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
If Sigma is an n-dimensional noncompact self-shrinker and the second fundamental form of Sigma is Lp integrable for p >= n, we show that Sigma is asymptotic to a regular cone. We also prove long-time existence of the mean curvature flow starting from complete manifolds with bounded curvature and small total curvature. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：16
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