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math.DG2022
Biharmonic Steklov operator on differential forms
Fida El Chami, Nicolas Ginoux, Georges Habib +1
We introduce the biharmonic Steklov problem on differential forms by considering suitable boundary conditions. We characterize its smallest eigenvalue and prove elementary properti…
math.DG2016
Rigidity results for Riemannian spin^c manifolds with foliated boundary
Fida Chami, Nicolas Ginoux, Georges Habib +1
Given a Riemannian spin^c manifold whose boundary is endowed with a Riemannian flow, we show that any solution of the basic Dirac equation satisfies an integral inequality dependin…
math.DG2014
Rigidity results for spin manifolds with foliated boundary
Fida El Chami, Nicolas Ginoux, Georges Habib +1
In this paper, we consider a compact Riemannian manifold whose boundary is endowed with a Riemannian flow. Under a suitable curvature assumption depending on the O'Neill tensor of…