Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature
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.
scientific article; zbMATH DE number 3947125
scientific article