Constant $k$-curvature hypersurfaces in Riemannian manifolds

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dc.creatorMahmoudi, Fethi
dc.date2006-10-10
dc.date.accessioned2026-07-07T07:28:53Z
dc.date.available2026-07-07T07:28:53Z
dc.descriptionRugang Ye proved the existence of a family of constant mean curvature hypersurfaces in an $m+1$-dimensional Riemannian manifold $(M^{m+1},g)$, which concentrate at a point $p_0$ (which is required to be a nondegenerate critical point of the scalar curvature), moreover he proved that this family constitute a foliation of a neighborhood of $p_0$. In this paper we extend this result to the other curvatures (the $r$-th mean curvature for $1\le r\le m$).
dc.identifierhttps://arxiv.org/abs/math/0610313
dc.identifierhttp://arxiv.org/abs/math/0610313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117901
dc.subjectDifferential Geometry
dc.subject53A10, 53C12, 35J20
dc.titleConstant $k$-curvature hypersurfaces in Riemannian manifolds
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