{ "id": "0810.4413", "version": "v1", "published": "2008-10-24T09:14:11.000Z", "updated": "2008-10-24T09:14:11.000Z", "title": "Totally geodesic submanifolds in Riemannian symmetric spaces", "authors": [ "Sebastian Klein" ], "comment": "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", "categories": [ "math.DG" ], "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.", "revisions": [ { "version": "v1", "updated": "2008-10-24T09:14:11.000Z" } ], "analyses": { "subjects": [ "53C35", "53C17" ], "keywords": [ "riemannian symmetric spaces", "results concerning totally geodesic submanifolds", "classification results concerning totally geodesic", "important constructions", "expository article" ], "tags": [ "conference paper" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0810.4413K" } } }