Remarks on a new metric in the unity disc of the complex plane

The curvature K of an surface depends only to the surface metric and so is an intrinsic invariant. In this paper we will study a new metric in the unity complex disc, which is connected to the well-known Poincaré metric used in hyperbolic geometry.

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Veröffentlicht in:Carpathian Journal of Mathematics 2014-01, Vol.30 (2), p.239-244
Hauptverfasser: Pişcoran, Laurian-Ioan, Barbu, Cătălin
Format: Artikel
Sprache:eng
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Zusammenfassung:The curvature K of an surface depends only to the surface metric and so is an intrinsic invariant. In this paper we will study a new metric in the unity complex disc, which is connected to the well-known Poincaré metric used in hyperbolic geometry.
ISSN:1584-2851
1843-4401
DOI:10.37193/CJM.2014.02.04