2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172384In 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 2008Differential Geometry53C35; 53C17text