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- Title
Complete Self-similar Hypersurfaces to the Mean Curvature Flow with Nonnegative Constant Scalar Curvature.
- Authors
Luo, Yong; Sun, Linlin; Yin, Jiabin
- Abstract
As is well known, self-similar solutions to the mean curvature flow, including self-shrinkers, translating solitons and self-expanders, arise naturally in the singularity analysis of the mean curvature flow. In this paper we give complete classifications of codimension one complete self-shrinkers with nonnegative constant scalar curvature. We also give alternative proofs of the classifications of codimension one translating solitons and self-expanders with nonnegative constant scalar curvature.
- Subjects
CURVATURE; MATHEMATICAL singularities; SOLITONS; ALGEBRAIC geometry; SCALAR field theory
- Publication
Frontiers of Mathematics, 2023, Vol 18, Issue 2, p417
- ISSN
2731-8648
- Publication type
Article
- DOI
10.1007/s11464-021-0229-x