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math.DG2015
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…
math.DG2015★ 1 cited
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…
math.DG2015★ 5 cited
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…