31 citations · 72 across the 17 of their papers we have counts for
31 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,…
Dirac structures in nonholonomic mechanics
Katarzyna Grabowska, Michalina Borczyńska, Joanna Majsak +1
The concept of a Dirac algebroid, which is a linear almost Dirac structure on a vector bundle, was designed to generate phase equations for mechanical systems with linear nonholono…
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 .…
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…