Constant mean curvature hypersurfaces condensing along a submanifold

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dc.creatorMahmoudi, Fethi
dc.creatorMazzeo, Rafe
dc.creatorPacard, Frank
dc.date2004-05-28
dc.date.accessioned2026-07-07T05:08:42Z
dc.date.available2026-07-07T05:08:42Z
dc.descriptionGiven any nondegenerate k-dimensional minimal submanifold K of codimension greater than 1, we prove the existence of families of constant mean curvature submanifolds, with mean curvature varying from one member of the family to another, which `condense' to K. In particular, our result proves the existence of constant mean curvature hypersurfaces with nontrivial topology in any Riemannian manifold.
dc.identifierhttps://arxiv.org/abs/math/0405564
dc.identifierhttp://arxiv.org/abs/math/0405564
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71374
dc.subjectDifferential Geometry
dc.subject53A10
dc.titleConstant mean curvature hypersurfaces condensing along a submanifold
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