bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

Vigué, Jean-Pierre:
Sur les rétractes holomorphes de dimension 1 (Sui retratti olomorfi di dimensione 1)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 9 (1998), fasc. n.1, p. 31-41, (French)
pdf (349 Kb), djvu (164 Kb). | MR1669248 | Zbl 0932.32025

Sunto

In questa Nota, vengono studiate l’esistenza e l’unicità di retratti olomorfi su sottovarietà complesse di dimensione 1.
Referenze Bibliografiche
[1] L. Belkhchicha, Caractérisation des isomorphismes analytiques de certains domaines bornés. C. R. Acad. Sc. Paris, s. I, Math., 313, 1991, 281-284. | MR 1126396 | Zbl 0739.32026
[2] L. Belkhchicha, Caractérisation des isomorphismes analytiques sur la boule-unité de \( \mathbb{C^{n}} \) pour une norme. Math. Z., 215, 1994, 129-141. | fulltext EuDML | fulltext (doi) | MR 1254816 | Zbl 0801.32009
[3] H. Cartan, Sur les fonctions de plusieurs variables complexes: l’itérations des transformations intérieures d’un domaine borné. Math. Z., 35, 1932, 760-773. | fulltext EuDML | fulltext (doi) | MR 1545327 | Zbl 0004.40602
[4] H. Cartan, Sur les rétractions d’une variété. C.R. Acad. Sc. Paris, s. I, Math., 303, 1986, 715-716. | MR 870703 | Zbl 0609.32021
[5] S. Dineen, The Schwarz Lemma. Oxford Math. Monographs, Clarendon Press, Oxford 1989. | MR 1033739 | Zbl 0708.46046
[6] S. Dineen, Convexity in complex analysis. In: P. Jakobczak - W. Pleasniak (eds.), Topics in complex analysis. Banach Center Publications, 31, Warszawa 1995, 151-162. | MR 1341385 | Zbl 0842.32019
[7] D. Eisenman, Intrinsic measures on complex manifolds. Memoirs Amer. Math. Soc., 96, 1970. | Zbl 0197.05901
[8] T. Franzoni - E. Vesentini, Holomorphic maps and invariant distances. Math. Studies, 40, North-Holland, Amsterdam-New York 1980. | MR 563329 | Zbl 0447.46040
[9] G. Gentili, On non-uniqueness of complex geodesics in convex bounded domains. Atti Acc. Lincei Rend. fis., s. 8, v. 79, 1985, 90-97. | MR 944377 | Zbl 0637.46018
[10] G. Gentili, On complex geodesics of balanced convex domains. Ann. Mat. Pura et Appl., 144, 1986, 113-130. | fulltext (doi) | MR 870872 | Zbl 0619.32015
[11] L. Harris, Schwarz-Pick systems of pseudometrics for domains in normed linear spaces. In: J. A. Barroso (ed.), Advances in Holomorphy. Proceedings of the Seminario de Holomorfia (Rio de Janeiro, 26-28 September 1977). Math. Studies, 34, North-Holland, Amsterdam-New York 1979, 345-406. | MR 520667 | Zbl 0409.46053
[12] L. Heath - T. Suffridge, Holomorphic retracts in complex \( n \)-space. Illinois J. Math., 25, 1981, 125-135. | fulltext mini-dml | MR 602903 | Zbl 0463.32008
[13] M. Jarnicki - P. Pflug, Invariant distances and metrics in complex analysis. De Gruyter Expositions in Mathematics, 9, Walter de Gruyter, Berlin-New York 1993. | fulltext (doi) | MR 1242120 | Zbl 0789.32001
[14] P. Kiernan, On the relations between taut, tight and hyperbolic manifolds. Bull. Amer. Math. Soc., 76, 1970, 49-51. | fulltext mini-dml | MR 252678 | Zbl 0192.44103
[15] S. Kobayashi, Intrinsic distances, measures and geometric function theory. Bull. Amer. Math. Soc., 82, 1976, 357-416. | fulltext mini-dml | MR 414940 | Zbl 0346.32031
[16] L. Lempert, La métrique de Kobayashi et la représentation des domaines sur la boule. Bull. Soc. Math. Fr., 109, 1981, 427-474. | fulltext EuDML | fulltext mini-dml | MR 660145 | Zbl 0492.32025
[17] L. Lempert, Holomorphic retracts and intrinsic metrics in convex domains. Anal. Math., 8, 1982, 257-261. | fulltext (doi) | MR 690838 | Zbl 0509.32015
[18] H. Royden - P. Wong, Carathéodory and Kobayashi metrics on convex domains. Preprint 1983.
[19] E. Thorp - R. Whitley, The strong maximum modulus theorem for analytic functions into a Banach space. Proc. Amer. Math. Soc., 18, 1967, 640-646. | MR 214794 | Zbl 0185.20102
[20] E. Vesentini, Complex geodesics. Compositio Math., 44, 1981, 375-394. | fulltext EuDML | fulltext mini-dml | MR 662466 | Zbl 0488.30015
[21] E. Vesentini, Complex geodesics and holomorphic mappings. Symposia Math., 26, 1982, 211-230. | MR 663034 | Zbl 0506.32008
[22] E. Vesentini, Invariant distances and invariant differential metrics in locally convex spaces. In: W. Zelazko (ed.), Spectral Theory. Banach Center Publications, 8, Warszawa 1982, 493-512. | fulltext EuDML | fulltext mini-dml | MR 738313 | Zbl 0505.32020
[23] J.-P. Vigué, Sur les points fixes d’applications holomorphes. C. R. Acad. Sc. Paris, I, Math., 303, 1986, 927-930. | MR 873396 | Zbl 0607.32016
[24] H. Wu, Normal families of holomorphic mappings. Acta Math., 119, 1967, 194-233. | MR 224869 | Zbl 0158.33301

La collezione può essere raggiunta anche a partire da EuDML, la biblioteca digitale matematica europea, e da mini-DML, il progetto mini-DML sviluppato e mantenuto dalla cellula Math-Doc di Grenoble.

Per suggerimenti o per segnalare eventuali errori, scrivete a

logo MBACCon il contributo del Ministero per i Beni e le Attività Culturali