Harmonic coarse embeddings
Apparaît dans la collection : Riemannian Geometry Past, Present and Future: an homage to Marcel Berger
The Schoen conjecture, recently proved by V. Markovic, states that any quasi-isometric map from the hyperbolic plane to itself is within bounded distance from a unique harmonic map. We generalize this result to coarse embeddings between two Hadamard manifolds with pinched curvature. This is a joint work with Yves Benoist.