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math.DG2013
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…
math.DG2013
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…