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- W2107428650 abstract "In this paper we use the relationship between conformal metrics on the sphere and horospherically convex hypersurfaces in the hyperbolic space for giving sufficient conditions on a conformal metric to be radial under some constrain on the eigenvalues of its Schouten tensor. Also, we study conformal metrics on the sphere which are invariant by a $k-$parameter subgroup of conformal diffeomorphisms of the sphere, giving a bound on its maximum dimension. Moreover, we classify conformal metrics on the sphere whose eigenvalues of the Shouten tensor are all constant (we call them emph{isoparametric conformal metrics}), and we use a classification result for radial conformal metrics which are solution of some $sigma _k -$Yamabe type problem for obtaining existence of rotational spheres and Delaunay-type hypersurfaces for some classes of Weingarten hypersurfaces in $h ^{n+1}$." @default.
- W2107428650 created "2016-06-24" @default.
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- W2107428650 date "2008-08-19" @default.
- W2107428650 modified "2023-09-27" @default.
- W2107428650 title "Invariant conformal metrics on S^n" @default.
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