INVESTIGADORES
OLMOS Carlos Enrique
artículos
Título:
The index of exceptional symmetric spaces
Autor/es:
JÜRGEN BERNDT, CARLOS OLMOS Y JUAN SEBASTIÁN RODRÍGUEZ
Revista:
REVISTA MATEMATICA IBEROAMERICANA
Editorial:
UNIV AUTONOMA MADRID
Referencias:
Lugar: Madrid; Año: 2021 vol. 37 p. 1599 - 1637
ISSN:
0213-2230
Resumen:
The index of a Riemannian symmetric space is the minimal codimension of a proper totally geodesic submanifold. There is a conjecture for how to calculate the index. In this paper we give an affirmative answer to this conjecture for the exceptional Riemannian symmetric spaces and for the classical symmetric spaces Sp(r)/U(r). Our methodology is new and based on the idea of using slice representations for studying totally geodesic submanifolds.
