27 citations · 75 across the 29 of their papers we have counts for
41 papers · 1 filter
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…
On the spectrum of the magnetic Dirac operator
Volker Branding, Nicolas Ginoux, Georges Habib
The magnetic Dirac operator describes the relativistic motion of a charged particle in a magnetic field. Although this operator got a lot of attention in physics many of its fundam…
Harmonic unit vector fields on 3-manifolds
Georges Habib, Andreas Savas-Halilaj
We investigate harmonic unit vector fields with totally geodesic integral curves on 3-manifolds. Under mild curvature assumptions, we classify both the vector fields and the manifo…
Eigenvalue estimates of the Kohn-Dirac operator on CR manifolds
Georges Habib, Felipe Leitner
In this paper, we establish a new eigenvalue estimate for the Kohn-Dirac operator on a compact CR manifold. The equality case of this estimate is characterized by the existence of…
The Buckling and Clamped Plate Problems on Differential Forms
Fida El Chami, Nicolas Ginoux, Georges Habib +2
We extend the buckling and clamped-plate problems to the context of differential forms on compact Riemannian manifolds with smooth boundary. We characterize their smallest eigenval…
Geometric singularities and Hodge theory
Lashi Bandara, Georges Habib
We consider smooth vector bundles over smooth manifolds equipped with non-smooth geometric data. For nilpotent differential operators acting on these bundles, we show that the kern…