32 citations · 194 across the 33 of their papers we have counts for
9 papers · 1 filter
Mixed sectional-Ricci curvature obstructions on tori
Benoît Kloeckner, Stéphane Sabourau
We establish new obstruction results to the existence of Riemannian metrics on tori satisfying mixed bounds on both their sectional and Ricci curvatures. More precisely, from Lohka…
On the asymptotic behavior of minimal surfaces in HR
Benoit Kloeckner, Rafe Mazzeo
We consider the asymptotic behavior of properly embedded minimal surfaces in the product of the hyperbolic plane with the line, taking into account the fact that there is more than…
Curvatures and anisometry of maps
Benoît Kloeckner
We prove various inequalities measuring how far from an isometry a local map from a manifold of high curvature to a manifold of low curvature must be. We consider the cases of volu…
The Cartan-Hadamard conjecture and The Little Prince
Benoît Kloeckner, Greg Kuperberg
The generalized Cartan-Hadamard conjecture says that if is a domain with fixed volume in a complete, simply connected Riemannian -manifold with sectional curvature $K \l…
A geometric study of Wasserstein spaces: an addendum on the boundary
Jérôme Bertrand, Benoit Kloeckner
We extend the geometric study of the Wasserstein space W(X) of a simply connected, negatively curved metric space X by investigating which pairs of boundary points can be linked by…
A refinement of Günther's candle inequality
Benoit Kloeckner, Greg Kuperberg
We analyze an upper bound on the curvature of a Riemannian manifold, using "root-Ricci" curvature, which is in between a sectional curvature bound and a Ricci curvature bound. (A s…