Isometries of the Teichmüller metric

• Marco Abate ^[2] ; Giorgio Patrizio ^[1]
  1. [1] Università di Firenze, Italia
  2. [2] Università di Roma Tor Vergata, Italia
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 26, Nº 3, 1998, págs. 437-452
• Idioma: inglés
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• Resumen

  • We study the curvature properties of the Kobayashi-Teichriiuller metric showing in particular that the holomorphic curvature is constant -4. Carrying a program due to Royden, we describe the consequences on complex geodesics. The results are applied to characterize biholomorphic maps into Teichmfller spaces in finite and infinite dimension.