Totally geodesic submanifolds in Riemannian symmetric spaces

2008/10/24 by Sebastian Klein, Klein, Sebastian
Mathematics · #Advanced Algebra and Geometry #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/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.

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