The index of exceptional symmetric spaces

• Jürgen Berndt ^[1] ; Carlos Olmos ^[2] ; Juan Sebastián Rodríguez ^[2]
  1. [1] King's College

     King's College

     City of Wilkes-Barre, Estados Unidos

     
  2. [2] Universidad Nacional de Córdoba

     Universidad Nacional de Córdoba

     Argentina

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 37, Nº 4, 2021, págs. 1599-1627
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• 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 Spr(R)/Ur. Our methodology is new and based on the idea of using slice representations for studying totally geodesic submanifolds.