Inverse mean curvature flow;
Backward uniquenesses theorem;
HYPERSURFACES;
D O I:
10.1007/s10711-023-00781-3
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper, we prove a backward uniqueness theorem for solutions to the inverse mean curvature flow on a closed manifold. As a consequence, the isometry group of a solution cannot expand within the lifetime of the solution.
机构:
Beijing Technol & Business Univ, Dept Math, Beijing 100048, Peoples R ChinaBeijing Technol & Business Univ, Dept Math, Beijing 100048, Peoples R China
机构:
Korea Inst Adv Study, Sch Math, Seoul 02455, South Korea
Daegu Univ, Dept Math Educ, Gyongsan 38453, Gyeongsangbuk D, South KoreaKorea Inst Adv Study, Sch Math, Seoul 02455, South Korea
机构:
Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Golm, GermanyMax Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Golm, Germany
Huisken, Gerhard
Ilmanen, Tom
论文数: 0引用数: 0
h-index: 0
机构:
ETH, Dept Math, CH-8092 Zurich, SwitzerlandMax Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Golm, Germany