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Totally geodesic submanifolds in Riemannian symmetric spaces

arXiv:0810.4413

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.

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