12 citations · 22 across the 4 of their papers we have counts for
4 papers
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…