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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…