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math.DG2017
Eigenvalue bounds of the Robin Laplacian with magnetic field
Georges Habib, Ayman Kachmar
On a compact Riemannian manifold with boundary, we give an estimate for the eigenvalues of the magnetic Laplacian with the Robin boundary conditions. Here, …
math.DG2017
Homotopy invariance of cohomology and signature of a riemannian foliation
Georges Habib, Ken Richardson
We prove that any smooth foliation that admits a Riemannian foliation structure has a well-defined basic signature, and this geometrically defined invariant is actually a foliated…
math.DG2017
Riemannian flows and adiabatic limits
Georges Habib, Ken Richardson
We show the convergence properties of the eigenvalues of the Dirac operator on a spin manifold with a Riemannian flow when the metric is collapsed along the flow.