Boundary behavior of the quasi-hyperbolic metric

Nikolai Nikolov (1) , Pascal J. Thomas (2, 3)

1 Institute of Mathematics and Informatics
2 LEP - Laboratoire Émile Picard
3 IMT - Institut de Mathématiques de Toulouse UMR5219

The precise behavior of the quasi-hyperbolic metric near a $\mathcal C^{1,1}$-smooth part of the boundary of a domain in $\mathbb{R}^n$ is obtained.

Mots clés: Invariant metrics; hyperbolic space

Domaines: Géométrie métrique [math.MG]

Nikolai Nikolov, Pascal J. Thomas. Boundary behavior of the quasi-hyperbolic metric. Annales Academiae Scientiarum Fennicae Series A 1, Mathematica Dissertationes, 2018, 43, pp.381--389. ⟨10.5186/aasfm.2018.4318⟩. ⟨hal-01620897⟩