Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 43, 2018, 381-389

BOUNDARY BEHAVIOR OF THE QUASI-HYPERBOLIC METRIC

Nikolai Nikolov and Pascal J. Thomas

Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
Acad. G. Bonchev 8, 1113 Sofia, Bulgaria, and
State University of Library Studies and Information Technologies, Faculty of Information Sciences
Shipchenski prohod 69A, 1574 Sofia, Bulgaria; nik 'at' math.bas.bg

Institut de Mathématiques de Toulouse; UMR5219, Université de Toulouse; CNRS; UPS IMT
F-31062 Toulouse Cedex 9, France; pascal.thomas 'at' math.univ-toulouse.fr

Abstract. The precise behavior of the quasi-hyperbolic metric near a C^1,1-smooth part of the boundary of a domain in Rⁿ is obtained.

2010 Mathematics Subject Classification: Primary 51M10, 32F45, 30C65.

Key words: Quasi-hyperbolic metric, Kobayashi distance.

Reference to this article: N. Nikolov and P. J. Thomas: Boundary behavior of the quasi-hyperbolic metric. Ann. Acad. Sci. Fenn. Math. 43 (2018), 381-389.

Full document as PDF file

https://doi.org/10.5186/aasfm.2018.4318