English

Conformal deformations of CAT(0) spaces

Differential Geometry 2017-11-15 v1 Metric Geometry

Abstract

We show that the class of CAT(0) spaces is closed under suitable conformal changes. In particular, any CAT(0) space admits a large variety of non-trivial deformations.

Keywords

Cite

@article{arxiv.1711.04507,
  title  = {Conformal deformations of CAT(0) spaces},
  author = {Alexander Lytchak and Stephan Stadler},
  journal= {arXiv preprint arXiv:1711.04507},
  year   = {2017}
}