Totally geodesic submanifolds of symmetric spaces, III
Differential Geometry
2013-07-31 v2 Symplectic Geometry
Spectral Theory
Abstract
One purpose of this article is to establish a general method to determine stability of totally geodesic submanifolds of symmetric spaces. The method is used to determine the stability of the basic totally geodesic submanifolds introduced and studied by Chen and Nagano in [Totally geodesic submanifolds of symmetric spaces, II, Duke Math. J. 45 (1978), 405--425] as minimal submanifolds. The other purpose is to establish a stability theorem for minimal totally real submanifolds of K\"ahlerian manifolds.
Keywords
Cite
@article{arxiv.1307.7325,
title = {Totally geodesic submanifolds of symmetric spaces, III},
author = {Bang-Yen Chen and Pui-Fai Leung and Tadashi Nagano},
journal= {arXiv preprint arXiv:1307.7325},
year = {2013}
}
Comments
16 pages. This is an unpublished article written in 1980. arXiv admin note: substantial text overlap with arXiv:1307.1512