On holomorphic isometries for the Kobayashi and Carathéodory distances on complex manifolds
Venturini, Sergio
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 83 (1989), p. 139-145 / Harvested from Biblioteca Digitale Italiana di Matematica
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It is shown that under certain conditions every holomorphic isometry for the Carathéodory or the Kobayashi distances is an isometry for the corrisponding metrics. These results are used to give a characterization of biholomorphic mappings between convex domains and complete circular domains.

Si dimostra che, sotto opportune condizioni, ogni isometria olomorfa per le distanze di Carathéodory o di Kobayashi è una isometria per le rispettive metriche. Si applicano questi risultati allo studio dei biolomorfismi tra domini convessi e domini circolari completi.

Publié le : 1989-12-01
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     author = {Sergio Venturini},
     title = {On holomorphic isometries for the Kobayashi and Carath\'eodory distances on complex manifolds},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
     volume = {83},
     year = {1989},
     pages = {139-145},
     zbl = {0741.32018},
     mrnumber = {1142452},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLINA_1989_8_83_1_139_0}
}

Venturini, Sergio. On holomorphic isometries for the Kobayashi and Carathéodory distances on complex manifolds. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 83 (1989) pp. 139-145. http://gdmltest.u-ga.fr/item/RLINA_1989_8_83_1_139_0/

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