21 citations · 33 across the 12 of their papers we have counts for
12 papers
Quantizing Geodesics in Kähler and Sasaki Geometry
Gilles Courtois, Eleonora Di Nezza, Thomas Franzinetti
The space of Kähler potentials can be quantized through the classical Fubini-Study map, relating infinite-dimensional geometric structures to finite-dimensional symmetric spaces. W…
On Horospherical Rigidity
Gérard Besson, Gilles Courtois, Sa'ar Hersonsky
We provide intrinsic conditions on the geometry of horospheres in a closed, negatively curved Riemannian manifold of dimension greater than or equal to 3, which guarantee that the…
Rigidity of flat holonomies
Gérard Besson, Gilles Courtois, Sa'ar Hersonsky
We prove that the existence of one horosphere in the universal cover of a closed, strictly quarter pinched, negatively curved Riemannian manifold of dimension on which th…
Finiteness Theorems for Gromov-Hyperbolic Spaces and Groups
Gérard Besson, Gilles Courtois, Sylvestre Gallot +1
In this article we prove that the set of torsion-free groups acting by isometries on a hyperbolic metric space whose entropy is bounded above and with a compact quotient is finite.…
A Cheeger-like inequality for coexact 1-forms
Adrien Boulanger, Gilles Courtois
We state and prove a Cheeger-like inequality for coexact 1-forms on closed orientable Riemannian manifolds.
Poincaré inequality on complete Riemannian manifolds with Ricci curvature bounded below
Gérard Besson, Gilles Courtois, Sa'ar Hersonsky
We prove that complete Riemannian manifolds with polynomial growth and Ricci curvature bounded from below, admit uniform Poincaré inequalities. A global, uniform Poincaré inequalit…