Geodesic
On holomorphic isometries for the Kobayashi and Carathéodory distances on complex manifolds
Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 83 (1989) no. 1, pp. 139-145 Cet article a éte moissonné depuis la source 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. 
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     title = {On holomorphic isometries for the {Kobayashi} and {Carath\'eodory} distances on complex manifolds},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali},
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Venturini, Sergio. On holomorphic isometries for the Kobayashi and Carathéodory distances on complex manifolds. Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 83 (1989) no. 1, pp. 139-145. http://geodesic.mathdoc.fr/item/RLINA_1989_8_83_1_a22/

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