Complex geodesics and isometries in Cartan domains of type four

Edoardo Vesentini

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1995)

  • Volume: 6, Issue: 4, page 251-257
  • ISSN: 1120-6330

Abstract

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Holomorphic maps of Cartan domains of type four preserving the supports of complex geodesics are characterized, providing, in particular, a new description of holomorphic isometries.

How to cite

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Vesentini, Edoardo. "Complex geodesics and isometries in Cartan domains of type four." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 6.4 (1995): 251-257. <http://eudml.org/doc/244079>.

@article{Vesentini1995,
abstract = {Holomorphic maps of Cartan domains of type four preserving the supports of complex geodesics are characterized, providing, in particular, a new description of holomorphic isometries.},
author = {Vesentini, Edoardo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Cartan domain; Complex geodesic; Holomorphic isometry; Moebius transformation; complex geodesics; holomorphic isometry; Cartan domains},
language = {eng},
month = {12},
number = {4},
pages = {251-257},
publisher = {Accademia Nazionale dei Lincei},
title = {Complex geodesics and isometries in Cartan domains of type four},
url = {http://eudml.org/doc/244079},
volume = {6},
year = {1995},
}

TY - JOUR
AU - Vesentini, Edoardo
TI - Complex geodesics and isometries in Cartan domains of type four
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1995/12//
PB - Accademia Nazionale dei Lincei
VL - 6
IS - 4
SP - 251
EP - 257
AB - Holomorphic maps of Cartan domains of type four preserving the supports of complex geodesics are characterized, providing, in particular, a new description of holomorphic isometries.
LA - eng
KW - Cartan domain; Complex geodesic; Holomorphic isometry; Moebius transformation; complex geodesics; holomorphic isometry; Cartan domains
UR - http://eudml.org/doc/244079
ER -

References

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  1. HARRIS, L. A., Bounded symmetric homogeneous domains in infinite dimensional spaces. Lecture Notes in Mathematics, 634, Springer-Verlag, Berlin1974, 13-40. Zbl0293.46049MR407330
  2. VESENTINI, E., Complex geodesics. Compositio Math., 44, 1981, 375-394. Zbl0488.30015MR662466
  3. VESENTINI, E., Holomorphic isometries of Cartan domains of type four. Rend. Mat. Acc. Lincei, s. 9, 3, 1992, 287-294. Zbl0807.46046MR1203168
  4. VESENTINI, E., Holomorphic projective mappings. Rend. Ist. Mat. Università di Trieste, 26, 1994, 297-308. Zbl0864.32020MR1363924

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