Hypersurfaces and Codazzi tensors

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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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Differential Geometry, 53C42

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http://salesiana.dossiersoluciones.com/handle/123456789/111519

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604237
 http://arxiv.org/abs/math/0604237

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arXiv