info:eu-repo/semantics/article
The index of exceptional symmetric spaces
Fecha
2020-11Registro en:
Berndt, Jürgen ; Olmos, Carlos Enrique; Rodríguez, Juan Sebastián; The index of exceptional symmetric spaces; Universidad Autónoma de Madrid; Revista Matematica Iberoamericana; 37; 11-2020; 1599-1637
0213-2230
CONICET Digital
CONICET
Autor
Berndt, Jürgen
Olmos, Carlos Enrique
Rodríguez, Juan Sebastián
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.