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Hypersurfaces and Codazzi tensors

Thomas Hasanis, Theodoros Vlachos

math.DGarXiv:math/0604237

Abstract

In this paper we deal with the following problem: Find all Riemannian metrics on a manifold that can be realized isometrically as immersed hypersurfaces in the Euclidean space. We study this problem for a wide class of metrics on hypersurfaces arising from Codazzi tensors.

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