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arxiv: math/0604237 · v1 · submitted 2006-04-11 · 🧮 math.DG

Hypersurfaces and Codazzi tensors

classification 🧮 math.DG
keywords hypersurfacescodazzimetricsproblemtensorsarisingclassdeal
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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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