16 citations · 46 across the 22 of their papers we have counts for
25 papers
Laplace and Dolbeault operators on Sasakian manifolds
Georges Habib, Ken Richardson, Robert Wolak
Sasakian manifolds, the odd-dimensional analogues of Kähler manifolds, carry two natural pairs of first-order Dolbeault-type operators on the full complex of differential forms, ex…
Basic Albanese maps of regular Riemannian foliations
Kinga Słowik, 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…
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…
Hard Lefschetz property for -actions
JosÉ Ignacio Royo Prieto, Martintxo Saralegi-Aranguren, Robert Wolak
The Hard Lefschetz Property (HLP) has recently been formulated in the context of isometric flows without singularities on manifolds. In this category, two versions of the HLP (tran…
Cohomology of Quaternionic Foliations and Orbifolds
Rouzbeh Mohseni, Robert A. Wolak
Starting with a concise review of quaternionic geometry and quaternionic K{ä}hler manifolds, we define a transversely quaternionic K{ä}hler foliation. Then we formulate and prove t…
Hard Lefschetz Property for Isometric Flows
José Ignacio Royo Prieto, Martintxo Saralegi-Aranguren, Robert Wolak
The Hard Lefschetz Property (HLP) is an important property which has been studied in several categories of the symplectic world. For Sasakian manifolds, this duality is satisfied b…