Totally Geodesic Surfaces of Riemannian Symmetric Spaces

  • Katsuya Mashimo
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 106)


A submanidfold S of a Riemannian manifold is called a totally geodesic submanifold if every geodesic of S is also a geodesic of M. Totally geodesic submanifolds of Riemannian symmetric spaces have long been studied by many mathematicians. We give a classification of non-flat totally geodesic surfaces of the Riemannian symmetric space of type AI, AIII and BDI.


Irreducible Representation Riemannian Symmetric Space Geodesic Submanifold Involutive Automorphism Standard Orthonormal Basis 
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    Mashimo, K.: Non-flat Totally Geodesic Surfaces in Symmetric Spaces of Classical Type. PreprintGoogle Scholar

Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Hosei universityTokyoJapan

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