7 citations · 30 across the 19 of their papers we have counts for
23 papers
Foliated Hopf hypersurfaces in complex hyperbolic quadrics
Jurgen Berndt
This paper deals with a limiting case motivated by contact geometry. The limiting case of a tensorial characterization of contact hypersurfaces in Kahler manifolds leads to Hopf hy…
The Index Conjecture for Symmetric Spaces
Jurgen Berndt, Carlos Olmos
In 1980, Onishchik introduced the index of a Riemannian symmetric space as the minimal codimension of a (proper) totally geodesic submanifold. He calculated the index for symmetric…
The index of exceptional symmetric spaces
Jürgen Berndt, Carlos Olmos, Juan Sebastián Rodríguez
The index of a Riemannian symmetric space is the minimal codimension of a proper totally geodesic submanifold (Onishchik, 1980). There is a conjecture by the first two authors for…
Submanifolds with constant principal curvatures in symmetric spaces
Jurgen Berndt, Victor Sanmartin-Lopez
We study submanifolds whose principal curvatures, counted with multiplicities, do not depend on the normal direction. Such submanifolds, which we briefly call CPC submanifolds, are…
Real hypersurfaces with isometric Reeb flow in Kaehler manifolds
Jurgen Berndt, Young Jin Suh
We investigate the structure of real hypersurfaces with isometric Reeb flow in Kaehler manifolds. As an application we classify real hypersurfaces with isometric Reeb flow in irred…
The index of compact simple Lie groups
Jurgen Berndt, Carlos Olmos
Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension of a (non-trivial) totally geodesic submanifold of M. The purpose of this note is…