Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature (Q1074142)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature |
scientific article; zbMATH DE number 3947125
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature |
scientific article; zbMATH DE number 3947125 |
Statements
Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature (English)
0 references
1986
0 references
The author generalizes results he obtained earlier [cf. J. Differ. Geom. 20, 237-266 (1984; Zbl 0556.53001)]. A closed ''sufficiently convex'' hypersurface of a Riemannian manifold N can be shrunk by its mean curvature to a small sphere and to a point. ''Sufficiently convex'' is specified by a lower bound for the principal curvatures depending on the curvature of N and its derivative.
0 references
parabolic system
0 references
convex hypersurface
0 references
evolution equation
0 references
mean curvature
0 references
0.95916235
0 references
0.9393382
0 references
0.93072313
0 references
0.9283501
0 references
0.9261065
0 references
0.9233831
0 references
0.9204811
0 references
