12 citations · 28 across the 5 of their papers we have counts for
5 papers
The structure of algebraic covariant derivative curvature tensors
J. Diaz-Ramos, B. Fiedler, E. Garcia-Rio +1
We use the Nash embedding theorem to construct generators for the space of algebraic covariant derivative curvature tensors.
On the symmetry classes of the first covariant derivatives of tensor fields
B. Fiedler
We show that the symmetry classes of torsion-free covariant derivatives of r-times covariant tensor fields T can be characterized by Littlewood-Richardson products $σ[1]…
Determination of the structure of algebraic curvature tensors by means of Young symmetrizers
B. Fiedler
For a positive definite fundamental tensor all known examples of Osserman algebraic curvature tensors have a typical structure. They can be produced from a metric tensor and a fini…
Ideal decompositions and computation of tensor normal forms
B. Fiedler
Symmetry properties of r-times covariant tensors T can be described by certain linear subspaces W of the group ring K[S_r] of a symmetric group S_r. If for a class of tensors T suc…
Nilpotent Szabo, Osserman and Ivanov-Petrova pseudo-Riemannian manifolds
B. Fiedler, P. Gilkey
We exhibit pseudo Riemannian manifolds which are Szabó nilpotent of arbitrary order, or which are Osserman nilpotent of arbitrary order, or which are Ivanov-Petrova nilpotent of or…