Rigidity of holomorphic isometries

Edoardo Vesentini

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1994)

  • Volume: 5, Issue: 1, page 55-62
  • ISSN: 1120-6330

Abstract

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A rigidity theorem for holomorphic families of holomorphic isometries acting on Cartan domains is proved.

How to cite

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Vesentini, Edoardo. "Rigidity of holomorphic isometries." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 5.1 (1994): 55-62. <http://eudml.org/doc/244236>.

@article{Vesentini1994,
abstract = {A rigidity theorem for holomorphic families of holomorphic isometries acting on Cartan domains is proved.},
author = {Vesentini, Edoardo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Cartan factors; Carathéodory distance; Holomorphic isometry; Extreme point; extreme point; rigidity theorem; holomorphic families of holomorphic isometries acting on Cartan domains},
language = {eng},
month = {3},
number = {1},
pages = {55-62},
publisher = {Accademia Nazionale dei Lincei},
title = {Rigidity of holomorphic isometries},
url = {http://eudml.org/doc/244236},
volume = {5},
year = {1994},
}

TY - JOUR
AU - Vesentini, Edoardo
TI - Rigidity of holomorphic isometries
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1994/3//
PB - Accademia Nazionale dei Lincei
VL - 5
IS - 1
SP - 55
EP - 62
AB - A rigidity theorem for holomorphic families of holomorphic isometries acting on Cartan domains is proved.
LA - eng
KW - Cartan factors; Carathéodory distance; Holomorphic isometry; Extreme point; extreme point; rigidity theorem; holomorphic families of holomorphic isometries acting on Cartan domains
UR - http://eudml.org/doc/244236
ER -

References

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  1. FRANZONI, T. - VESENTINI, E., Holomorphic maps and invariant distances. North Holland, Amsterdam1980. Zbl0447.46040MR563329
  2. HARRIS, L. A., Bounded symmetric domains in infinite dimensional spaces. Lecture notes in mathematics, n. 634. Springer-Verlag, Berlin1974, 13-40. Zbl0293.46049MR407330
  3. JARNICKI, M. - PFLUG, P., Invariant distances and metrics in complex analysis. de Gruyter, Berlin1993 Zbl0789.32001MR1242120DOI10.1515/9783110870312
  4. REIFFEN, H. J., Die Carathéodorische Distanz und ihre zugehörige Differentialmetrik. Math. Ann., 161, 1965, 315-324. Zbl0141.08803MR196133
  5. VESENTINI, E., Holomorphic isometries. Lecture notes in mathematics, n. 1277. Springer-Verlag, Berlin1987, 290 302. Zbl0643.32009MR922341DOI10.1007/BFb0078252
  6. VESENTINI, E., Holomorphic semigroups of holomorphic isometries. Atti Acc. Lincei Rend fis., s. 8, 82, 1988, 203-217. Zbl0658.46038MR999837
  7. VESENTINI, E., Holomorphic isometries of Cartan domains of type one. Rend. Mat. Acc. Lincei, s. 9, 2, 1991, 65-72. Zbl0755.32020MR1120124
  8. VESENTINI, E., Holomorphic isometries of Cartan domains of type four. Rend. Mat. Acc. Lincei, s. 9, 3, 1992, 287-294. Zbl0807.46046MR1203168
  9. VESENTINI, E., Semigroups of holomorphic isometries. In: Complex potential theory. Kluwer Academic Publisher, Dordrecht, to appear. Zbl0802.46058MR1332968

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