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.
Stable Constant Mean Curvature Hypersurfaces
NELLI, BARBARA;
2007-01-01
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.File in questo prodotto:
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