English

On curvature-adapted and proper complex equifocal submaniflds

Differential Geometry 2011-01-25 v1

Abstract

In this paper, we investigate a curvature-adapted and proper complex equifocal submanifold in a symmetric space of non-compact type. The class of these submanifolds contains principal orbits of Hermann type actions as homogeneous examples. In future, the results in this paper will be used to give a submanifold geometrical characterization of principal orbits of Hermann type actions.

Keywords

Cite

@article{arxiv.0809.4933,
  title  = {On curvature-adapted and proper complex equifocal submaniflds},
  author = {Naoyuki Koike},
  journal= {arXiv preprint arXiv:0809.4933},
  year   = {2011}
}

Comments

26pages

R2 v1 2026-06-21T11:25:09.604Z