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math.DS2025
Exponential mixing of the Teichmüller flow on affine invariant manifolds
Ursula Hamenstädt
Let S be a non-exceptional oriented surface of finite type. We give a new proof based on symbolic coding of the following result of Avila and Gouezel. The Teichmueller flow is expo…
math.DG2025
Hitchin grafting representations I: Geometry
Pierre-Louis Blayac, Ursula Hamenstädt, Théo Marty
We give a geometric interpretation of Fock--Goncharov positivity and show that bending deformations of Fuchsian representations stabilize a uniform Finsler quasi-convex disk in the…
math.DG2025
Kähler-Einstein metrics of negative curvature
Henri Guenancia, Ursula Hamenstädt
Given any integer , we construct a compact Kähler-Einstein manifold of dimension n of negative sectional curvature which is not covered by the ball.