4 papers
Jacobi relations on naturally reductive homogeneous spaces
Tillmann Jentsch, Gregor Weingart
Naturally reductive spaces, in general, can be seen as an adequate generalization of Riemannian symmetric spaces. Nevertheless, there are some that are closer to symmetric spaces t…
A special class of symmetric Killing 2-tensors
Konstantin Heil, Tillmann Jentsch
We study symmetric Killing 2-tensors on Riemannian manifolds and show that several additional conditions can be realised only for Sasakian manifolds and Euclidean spheres. In parti…
Riemannian and Kählerian Normal Coordinates
Tillmann Jentsch, Gregor Weingart
In every point of a Kähler manifold there exist special holomorphic coordinates well adapted to the underlying geometry. Comparing these Kähler normal coordinates with the Riemanni…
On parallel submanifolds of symmetric spaces
Tillmann Jentsch
Due to its length and several inaccuracies, this article is no longer suggested for reading. Moreover, in the meantime certain results presented herein could be improved by the aut…