8 citations · 26 across the 12 of their papers we have counts for
12 papers
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,…
The regularity and products in contact geometry
Katarzyna Grabowska, Janusz Grabowski
We study regular contact manifolds whose Reeb vector field is complete and prove that they are canonically principal bundles with the structure group or .…
Principal bundles in the category of -manifolds
Andrew James Bruce, Janusz Grabowski
We introduce and examine the notion of principal -bundles, i.e., principal bundles in the category of -manifolds. The latter are higher graded exten…
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…