Hypersurfaces and Codazzi tensors
微分几何
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0604237,
title = {Hypersurfaces and Codazzi tensors},
author = {Thomas Hasanis and Theodoros Vlachos},
journal= {arXiv preprint arXiv:math/0604237},
year = {2007}
}