93 citations · 489 across the 46 of their papers we have counts for
22 papers · 1 filter
Nijenhuis operators on Banach fibration
Katarzyna Grabowska, Janusz Grabowski
In the infinite-dimensional Banach setting, we consider general smooth Banach fibrations and `-tensors' that are projectable (in the obvious sense)…
Equivalence functors in graded supergeometry
Katarzyna Grabowska, Janusz Grabowski, Mikołaj Rotkiewicz
It has recently been proved that the category of N-manifolds of degree , that is, -graded supermanifolds of degree for which the parity agrees with the gradation,…
Sasaki structures on general contact manifolds
Katarzyna Grabowska, Janusz Grabowski, Rouzbeh Mohseni
We extend the notion of a Sasakian structure from the classical setting of a cooriented contact manifold, where it is given by a compatibility between a contact form and a Riem…
Graded supermanifolds and homogeneity
Katarzyna Grabowska, Janusz Grabowski
We introduce the concept of a homogeneity supermanifold, which is, roughly speaking, a supermanifold equipped with a privileged atlas whose coordinates carry prescribed (real) homo…
Lifting statistical structures
Katarzyna Grabowska, Janusz Grabowski, Marek Kuś +1
We consider some natural (functorial) lifts of geometric objects associated with statistical manifolds (metric tensor, dual connections, skewness tensor, etc.) to higher tangent bu…
VB-structures and generalizations
Janusz Grabowski, Katarzyna Grabowska, Zohreh Ravanpak
Motivated by properties of higher tangent lifts of geometric structures, we introduce concepts of weighted structures for various geometric objects on a manifold F equipped with a…