Geodesic
Inner Carathéodory completeness of Reinhardt domains
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 12 (2001) no. 3, pp. 153-157.

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We give a description of bounded pseudoconvex Reinhardt domains, which are complete for the Carathéodory inner distance.
Si presenta la descrizione di domini di Reinhardt limitati e pseudo-convessi, che sono completi per la distanza interna di Carathéodory. 
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Zwonek, Włodzimierz. Inner Carathéodory completeness of Reinhardt domains. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 12 (2001) no. 3, pp. 153-157. http://geodesic.mathdoc.fr/item/RLIN_2001_9_12_3_a0/

[1] T.J. Barth, Some counterexamples concerning intrinsic distances. Proc. Amer. Math. Soc., 66(1), 1977, 49-53. | MR | Zbl

[2] L. Belkhchicha - J.-P. Vigué, Sur les espaces complets pour la distance de Carathéodory. Rend. Mat. Acc. Lincei, s. 9, v. 5, 1994, 189-192. | fulltext bdim | fulltext EuDML | fulltext mini-dml | MR | Zbl

[3] S. Fu, On completeness of invariant metrics of Reinhardt domains. Arch. Math., 63, 1994, 166-172. | DOI | MR | Zbl

[4] M. Jarnicki - P. Pflug, The simplest example for the noninnerness of the Carathéodory distance. Resultate Math., 18, no. 1-2, 1990, 57-59. | DOI | MR | Zbl

[5] M. Jarnicki - P. Pflug, Invariant Distances and Metrics in Complex Analysis. Walter de Gruyter, 1993. | DOI | MR | Zbl

[6] P. Pflug, About the Carathéodory completeness of all Reinhardt domains. In: G. Zapata (ed.), Functional Analysis, Holomorphy and Approximation Theory II. North-Holland, Amsterdam 1984, 331-337. | DOI | MR | Zbl

[7] J.P. Vigué, La distance de Carathéodory n’est pas intérieure. Resultate Math., 6, no. 1, 1983, 100-104. | DOI | MR | Zbl

[8] W. Zwonek, On hyperbolicity of pseudoconvex Reinhardt domains. Arch. Math., 72, 1999, 304-314. | DOI | MR | Zbl

[9] W. Zwonek, On Bergman completeness of pseudoconvex Reinhardt domains. Ann. de la Faculté des Sciences de Toulouse, 8(3), 1999, 537-552. | fulltext EuDML | fulltext mini-dml | MR | Zbl

[10] W. Zwonek, On Carathéodory completeness of pseudoconvex Reinhardt domains. Proc. Amer. Math. Soc., 128(3), 2000, 857-864. | DOI | MR | Zbl

[11] W. Zwonek, Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions. Diss. Math., 388, 2000, 1-103. | DOI | MR | Zbl