6 citations · 22 across the 11 of their papers we have counts for
12 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…
The two-jet of the curvature tensor of an Einstein manifold
Tillmann Jentsch
The two-jet of the curvature tensor at some point of a pseudo-Riemannian manifold is called Einstein if the Ricci tensor is a multiple of the metric tensor at the given point and a…
An estimate for the Singer invariant via the Jet Isomorphism Theorem
Tillmann Jentsch
Recently examples of Riemannian homogeneous spaces with linear Jacobi relations were found. We calculate the Singer invariants of these spaces with the computer algebra program Map…
The Jet Isomorphism Theorem of Riemannian Geometry
Tillmann Jentsch
A classical theorem of Riemannian geometry, due in its original form to Cartan, states that the Taylor expansion of the metric in geodesic normal coordinates is a universal formal…