Horizontal curves of hyperbolic metrics

Abstract

We analyse the fine convergence properties of one parameter families of hyperbolic metrics, on a fixed underlying surface, that move always in a horizontal direction, i.e. orthogonal to the action of diffeomorphisms.

Minor changes, final version, to appear in Calc Var PDE

References in corpus (1)

• Smooth long-time existence of Harmonic Ricci Flow on surfaces

Cited by in corpus (6)

• Global weak solutions of the Teichmüller harmonic map flow into general targets
• A new uniform lower bound on Weil-Petersson distance
• Systole functions and Weil-Petersson geometry
• Finite-time degeneration for variants of Teichmüller harmonic map flow
• Shape of filling-systole subspace in surface moduli space and critical points of systole function
• Holomorphic quadratic differentials dual to Fenchel-Nielsen coordinates