Let N^{ n+1} be a Riemannian manifold with sectional curvatures uniformly bounded from below. When n = 3,4, we prove that there are no complete (strongly) stable H- hypersurfaces, without boundary, provided |H| is large enough. In particular we prove that there are no complete strongly stable H-hypersurfaces in R^{n+1} without boundary, H different from 0.
Titolo: | Stable Constant Mean Curvature Hypersurfaces |
Autori: | |
Data di pubblicazione: | 2007 |
Rivista: | |
Abstract: | Let N^{ n+1} be a Riemannian manifold with sectional curvatures uniformly bounded from below. When n = 3,4, we prove that there are no complete (strongly) stable H- hypersurfaces, without boundary, provided |H| is large enough. In particular we prove that there are no complete strongly stable H-hypersurfaces in R^{n+1} without boundary, H different from 0. |
Handle: | http://hdl.handle.net/11697/7944 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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