37 citations · 122 across the 24 of their papers we have counts for
26 papers · 1 filter
Dirac-harmonic maps from manifolds with boundary via index theory
Volker Branding, Nicolas Ginoux
Dirac-harmonic maps are a mathematical version of the supersymmetric non-linear sigma model of quantum field theory. Since they arise as critical points of an unbounded energy func…
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…
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…
A Poincaré formula for differential forms and applications
Nicolas Ginoux, Georges Habib, Simon Raulot
We prove a new general Poincaré-type inequality for differential forms on compact Riemannian manifolds with nonempty boundary. When the boundary is isometrically immersed in Euclid…
A generalised Ricci-Hessian equation on Riemannian manifolds
Nicolas Ginoux, Georges Habib
In this paper, we prove new rigidity results related to some generalised Ricci-Hessian equation on Riemannian manifolds.
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…