Quasihyperbolic Geometry in Euclidean and Banach Spaces

Riku Klén; Antti Rasila; Jarno Talponen

Quasihyperbolic Geometry in Euclidean and Banach Spaces

Complex Variables 2015-03-19 v1 Functional Analysis

Authors: Riku Klén , Antti Rasila , Jarno Talponen

Abstract

We consider the quasihyperbolic metric, and its generalizations in both the $n$ -dimensional Euclidean space $R^n$ , and in Banach spaces. Historical background, applications, and our recent work on convexity properties of these metrics are discussed.

Keywords

quasihyperbolic metric Euclidean space Banach space convexity properties metric geometry

Cite

@article{arxiv.1104.3745,
  title  = {Quasihyperbolic Geometry in Euclidean and Banach Spaces},
  author = {Riku Klén and Antti Rasila and Jarno Talponen},
  journal= {arXiv preprint arXiv:1104.3745},
  year   = {2015}
}

Comments

ICM 2010 - Satellite Conference International Workshop on Harmonic and Quasiconformal Mappings (HQM2010), IIT Madras, August 09-17, 2010. 18 pages, 5 figures

Quasihyperbolic Geometry in Euclidean and Banach Spaces

Abstract

Keywords

Cite

Comments

Related papers