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math.DG2026
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…
math.DG2026
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…