期刊
JOURNAL OF GEOMETRIC ANALYSIS
卷 29, 期 2, 页码 1206-1232出版社
SPRINGER
DOI: 10.1007/s12220-018-0036-0
关键词
Ancient solutions; Mean curvature flow; Gauss curvature flow; Geometric flows
类别
资金
- research group GNAMPA of INdAM (Istituto Nazionale di Alta Matematica)
We prove rigidity theorems for ancient solutions of geometric flows of immersed submanifolds. Specifically, we find pinching conditions on the second fundamental form that characterize the shrinking sphere among compact ancient solutions for the mean curvature flow in codimension greater than one, and for some nonlinear curvature flows of hypersurfaces.
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