Showing math.DGShow all
3 papers · 1 filter
math.DG2025
Parallel differential forms of codegree two, and three-forms in dimension six
Andrzej Derdzinski, Paolo Piccione, Ivo Terek
For a differential form on a manifold, having constant components in suitable local coordinates trivially implies being parallel relative to a torsion-free connection, and the conv…
math.DG2024
Nijenhuis geometry of parallel tensors
Andrzej Derdzinski, Paolo Piccione, Ivo Terek
A tensor -- meaning here a tensor field of any type on a manifold -- may be called integrable if it is parallel relative to some torsion-free connection. We provide an…
math.DG2024
Corrections of minor misstatements in several papers on ECS manifolds
Andrzej Derdzinski, Ivo Terek
In the paper [3] the value of the invariant denoted by d and often called "rank" was misstated for a narrow class of examples of ECS manifolds: they were identified as having d = 1…