Author:
Berndt Jürgen,Olmos Carlos
Abstract
AbstractLetMbe an irreducible Riemannian symmetric space. The index ofMis the minimal codimension of a (nontrivial) totally geodesic submanifold ofM. We prove that the index is bounded from below by the rank of the symmetric space. We also classify the irreducible Riemannian symmetric spaces whose index is less than or equal to 3.
Subject
Applied Mathematics,General Mathematics
Reference30 articles.
1. On the geometry of holonomy systems;Enseign. Math. (2),2005
2. Symmetric submanifolds of Euclidean space;Math. Ann.,1980
3. Normal holonomy of orbits and Veronese submanifolds;J. Math. Soc. Japan,2015
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献