CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
On the index of symmetric spaces
Autor/es:
JÜRGEN BERNDT AND CARLOS OLMOS
Revista:
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
Editorial:
WALTER DE GRUYTER & CO
Referencias:
Lugar: Berlin; Año: 2018 vol. 737 p. 33 - 48
ISSN:
0075-4102
Resumen:
Abstract. Let M be an irreducible Riemannian symmetric space. The indexof M is the minimal codimension of a (non-trivial) totally geodesic submanifoldof M. We prove that the index is bounded from below by the rank ofthe symmetric space. We also classify the irreducible Riemannian symmetricspaces whose index is less or equal than 3.
