Hypersurfaces and Codazzi tensors

Details Hypersurfaces and Codazzi tensors Hypersurfaces and Codazzi tensors

2006-04-11

arxiv.org/abs/math/0604237v1

Mathematics

Differential Geometry

Scientific paper

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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