English

Hypersurfaces and Codazzi tensors

Differential Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0604237,
  title  = {Hypersurfaces and Codazzi tensors},
  author = {Thomas Hasanis and Theodoros Vlachos},
  journal= {arXiv preprint arXiv:math/0604237},
  year   = {2007}
}