Compatibility of Gauss maps with metrics
Differential Geometry
2013-01-22 v1 Analysis of PDEs
Abstract
We give necessary and sufficient conditions on a smooth local map of a Riemannian manifold into the sphere to be the Gauss map of an isometric immersion , . We briefly discuss the case of general as well
Cite
@article{arxiv.0903.3225,
title = {Compatibility of Gauss maps with metrics},
author = {J. Eschenburg and B. S. Kruglikov and V. S. Matveev and R. Tribuzy},
journal= {arXiv preprint arXiv:0903.3225},
year = {2013}
}
Comments
14 pages, no figures