From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
Cohomology of Quaternionic Foliations and Orbifolds
Rouzbeh Mohseni, Robert A. Wolak
The paper defines transversely quaternionic Kähler foliations, proves foliated analogues of classical cohomology results for quaternionic Kähler manifolds, and extends these result…
math.DG2026
Basic Albanese maps of regular Riemannian foliations
Kinga SÅowik, Robert Wolak
In the paper we introduce the notion of basic Albanese map which we define for foliated Riemannian manifolds using basic 1-forms. We relate this mapping to the classical Albanese m…
math.DG2024
Transverse geometric formality
Georges Habib, Ken Richardson, Robert Wolak
A Riemannian metric on a closed manifold is said to be geometrically formal if the wedge product of any two harmonic forms is harmonic; equivalently, the interior product of any tw…