Orbits of s-representations with degenerate Gauss mappings
Differential Geometry
2008-03-18 v1
Abstract
In this paper we study tangentially degeneracy of the orbits of s-representations in the sphere. We show that an orbit of an s-representation is tangentially degenerate if and only if it is through a long root, or a short root of restricted root system of type G_2. Moreover these orbits provide many new examples of tangentially degenerate submanifolds which satisfy the Ferus equality.
Cite
@article{arxiv.0803.2391,
title = {Orbits of s-representations with degenerate Gauss mappings},
author = {Osamu Ikawa and Takashi Sakai and Hiroyuki Tasaki},
journal= {arXiv preprint arXiv:0803.2391},
year = {2008}
}
Comments
27 pages