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- W2020849069 abstract "In [7] , Rugang Ye (1991) 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 constitutes 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 ⩽ r ⩽ m ). And we give the expansion of the m -dimensional volume of the leaves of this foliation as well as the ( m + 1 ) -dimensional volume of the sets enclosed by each leaf." @default.
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- W2020849069 date "2010-02-01" @default.
- W2020849069 modified "2023-10-16" @default.
- W2020849069 title "Constant k-curvature hypersurfaces in Riemannian manifolds" @default.
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- W2020849069 doi "https://doi.org/10.1016/j.difgeo.2009.10.007" @default.
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