English

Totally geodesic submanifolds in Riemannian symmetric spaces

Differential Geometry 2008-10-27 v1

Abstract

In the first part of this expository article, the most important constructions and classification results concerning totally geodesic submanifolds in Riemannian symmetric spaces are summarized. In the second part, I describe the results of my classification of the totally geodesic submanifolds in the Riemannian symmetric spaces of rank 2.

Keywords

Cite

@article{arxiv.0810.4413,
  title  = {Totally geodesic submanifolds in Riemannian symmetric spaces},
  author = {Sebastian Klein},
  journal= {arXiv preprint arXiv:0810.4413},
  year   = {2008}
}

Comments

11 pages; to appear in the Proceedings volume for the conference "VIII International Conference on Differential Geometry", which took place in Santiago de Compostela in July 2008