Janusz Grabowski

activity

19992025

most citedGeneralized n-Poisson brackets on a symplectic manifold

8 citations · 26 across the 12 of their papers we have counts for

collaborators

Showing 2024 · math.DGShow all

3 papers · 2 filters

math.DG2024★ 1 cited

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…

math.DG2024★ 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 $η$ and a Riem…

math.DG2024

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…

Principal bundles in the category of Z2n​-manifolds

Sasaki structures on general contact manifolds

Graded supermanifolds and homogeneity

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