1 citations · 1 across the 1 of their papers we have counts for
7 papers
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 Rie…
Equivalence functors in graded supergeometry
Katarzyna Grabowska, Janusz Grabowski, MikoÅaj 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,…
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…
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…
Reductions: precontact versus presymplectic
Katarzyna Grabowska, Janusz Grabowski
We show that contact reductions can be described in terms of symplectic reductions in the traditional Marsden-Weinstein-Meyer as well as the constant rank picture. The point is tha…
Dirac structures in nonholonomic mechanics
Katarzyna Grabowska, Michalina BorczyÅska, 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…