Isometries of the quasihyperbolic metric

• Autores: Peter Hästö
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 230, Nº 2, 2007, págs. 315-326
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We study the curvature and isometries of the quasihyperbolic metric on plane domains. We prove that, except for the trivial case of a half-plane, the isometries are exactly the similarity mappings. We need to assume that the boundary of the domain is C3 smooth.