Janusz Grabowski

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20242026

most citedSasaki structures on general contact manifolds

1 citations · 1 across the 1 of their papers we have counts for

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math.DG2026★ 1 cited

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 $I^\cdot$ and a Rie…

math.DG2026

Equivalence functors in graded supergeometry

Katarzyna Grabowska, Janusz Grabowski, MikoÅaj Rotkiewicz

It has recently been proved that the category of N-manifolds of degree $n$ , that is, $N$ -graded supermanifolds of degree $n$ for which the parity agrees with the gradation,…

math.DG2025

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…

math.DG2025

Nijenhuis operators on Banach fibration

Katarzyna Grabowska, Janusz Grabowski

In the infinite-dimensional Banach setting, we consider general smooth Banach fibrations $I ¨ : M \to M_{0}$ and ` $(1, 1)$ -tensors' $N : T M \to T M$ that are projectable (in the obvious sense…

math.DG2024

Principal bundles in the category of $Z_{2}^{n}$ -manifolds

Andrew James Bruce, Janusz Grabowski

We introduce and examine the notion of principal $Z_{2}^{n}$ -bundles, i.e., principal bundles in the category of $Z_{2}^{n}$ -manifolds. The latter are higher graded exten…