Constant Mean Curvature Hypersurfaces Condensing to Geodesic Segments and Rays in Riemannian Manifolds

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dc.creatorButscher, Adrian
dc.creatorMazzeo, Rafe
dc.date2008-12-16
dc.date.accessioned2026-07-07T12:13:23Z
dc.date.available2026-07-07T12:13:23Z
dc.descriptionWe construct examples of compact and one-ended constant mean curvature surfaces with large mean curvature in Riemannian manifolds with axial symmetry by gluing together small spheres positioned end-to-end along a geodesic. Such surfaces cannot exist in Euclidean space, but we show that the gradient of the ambient scalar curvature acts as a `friction term' which permits the usual analytic gluing construction to be carried out.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/0812.3133
dc.identifierhttp://arxiv.org/abs/0812.3133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210826
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53A10
dc.titleConstant Mean Curvature Hypersurfaces Condensing to Geodesic Segments and Rays in Riemannian Manifolds
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