English

Horizontal curves of hyperbolic metrics

Differential Geometry 2018-06-21 v2 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.1605.06691,
  title  = {Horizontal curves of hyperbolic metrics},
  author = {Melanie Rupflin and Peter M. Topping},
  journal= {arXiv preprint arXiv:1605.06691},
  year   = {2018}
}

Comments

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