Showing papers by "Jurgen Berndt published in 2021"
TL;DR: In this article, the structure of real hypersurfaces with isometric Reeb flow in Kahler manifolds was investigated, and the authors classified real hyperssurfaces with Reeb flows in irreducible Hermitian s...
Abstract: We investigate the structure of real hypersurfaces with isometric Reeb flow in Kahler manifolds. As an application we classify real hypersurfaces with isometric Reeb flow in irreducible Hermitian s...
7 citations
TL;DR: In this article, Onishchik introduced the index of a Riemannian symmetric space as the minimal codimension of a (proper) totally geodesic submanifold.
Abstract: 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 spaces of rank less than or equal to 2, but for higher rank it was unclear how to tackle the problem. In earlier papers we developed several approaches to this problem, which allowed us to calculate the index for many symmetric spaces. Our systematic approach led to a conjecture for how to calculate the index. The purpose of this paper is to verify the conjecture.
4 citations