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Constant mean curvature spheres in Riemannian manifolds

โœ Scribed by F. Pacard; X. Xu


Publisher
Springer
Year
2008
Tongue
English
Weight
227 KB
Volume
128
Category
Article
ISSN
0025-2611

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The generalized equation and the intrinsic generalized equation are considered. The solutions of the first one are shown to correspond to Riemannian submanifolds Mn(K) of constant sectional curvature of pseudo-Riemannian manifolds Mn (K) of index s, with K K, flat normal bundle and such that the nor

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We ask when a constant mean curvature n-submanifold foliated by spheres in one of the Euclidean, hyperbolic and Lorentz-Minkowski spaces (E n+1 , H n+1 or L n+1 ), is a hypersurface of revolution. In E n+1 and L n+1 we will assume that the spheres lie in parallel hyperplanes and in the case of hyper