Homogeneous Kähler manifolds admitting a transitive solvable group of automorphisms

Josef Dorfmeister

Annales scientifiques de l'École Normale Supérieure (1985)

  • Volume: 18, Issue: 1, page 143-180
  • ISSN: 0012-9593

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Dorfmeister, Josef. "Homogeneous Kähler manifolds admitting a transitive solvable group of automorphisms." Annales scientifiques de l'École Normale Supérieure 18.1 (1985): 143-180. <http://eudml.org/doc/82153>.

@article{Dorfmeister1985,
author = {Dorfmeister, Josef},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {homogeneous Kähler manifolds; transitive solvable group of automorphisms; holomorphic fibering; bounded homogeneous domain},
language = {eng},
number = {1},
pages = {143-180},
publisher = {Elsevier},
title = {Homogeneous Kähler manifolds admitting a transitive solvable group of automorphisms},
url = {http://eudml.org/doc/82153},
volume = {18},
year = {1985},
}

TY - JOUR
AU - Dorfmeister, Josef
TI - Homogeneous Kähler manifolds admitting a transitive solvable group of automorphisms
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1985
PB - Elsevier
VL - 18
IS - 1
SP - 143
EP - 180
LA - eng
KW - homogeneous Kähler manifolds; transitive solvable group of automorphisms; holomorphic fibering; bounded homogeneous domain
UR - http://eudml.org/doc/82153
ER -

References

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  1. [1] R. AZENCOTT and E. N. WILSON, Homogeneous Manifolds with Negative Curvature, I (Trans. Amer. Math. Soc., Vol. 215, 1976, pp. 373-362). Zbl0293.53017MR52 #15308
  2. [2] R. AZENCOTT and E. N. WILSON, Homogeneous Manifolds with Negative Curvature, Part II (Amer. Math. Soc. Memoirs, Vol. 178, 1976). Zbl0355.53026
  3. [3] C. CHEVALLEYThéorie des groupes de Lie, Hermann, Paris, 1968. Zbl0186.33104
  4. [4] J. DORFMEISTER, Simply Transitive Groups and Köhler Structures on Bounded Homogeneous Domains (to appear in Trans. Amer. Math. Soc.). 
  5. [5] J. DORFMEISTER, Quasi-Clans (Abh. Math. Seminar Univ. Hamburg, Vol. 50, 1980, pp. 178-187). Zbl0419.17002MR82i:17012
  6. [6] J. DORFMEISTER and M. KOECHER, Regulöre Kegel (Jber. Deutsch. Math.-Verein., Vol. 81, 1979, pp. 109-151). Zbl0418.17013MR80i:17019
  7. [7] S. G. GINDIKIN, I. I. PIATETSKII-SHAPIRO and E. B. VINBERG, Homogeneous Köhler Manifolds, C.I.M.E., Edizione Cremonese, Roma, 1967. Zbl0183.35401
  8. [8] S. G. GINDIKIN and E. B. VINBERG, Köhlerian Manifolds Admitting a Transitive Solvable Automorphism Group (Math. Sb., Vol. 74, 1967, pp. 333-351). Zbl0172.37803MR36 #7161
  9. [9] H. GRAUERT, Analytische Faserungen über holomorph-vollstöndigen Röumen (Math. Ann., Vol. 135, 1958, pp. 263-273). Zbl0081.07401MR20 #4661
  10. [10] A. KODAMA and H. SHIMA, Characterizations of Homogeneous Bounded Domains Tsukuba J. Math., Vol. 7, 1983, pp. 79-86. Zbl0525.32030MR85d:32060
  11. [11] I. I. PIATETSKII-SHAPIRO, Bounded Homogeneous Domains in n-Dimensional Complex Space (Amer. Math. Soc. Translations, Vol. 43, 1964, pp. 299-320). Zbl0154.08401
  12. [12] I. I. PIATETSKII-SHAPIRO, Automorphic Functions and the Geometry of Classical Domains, Gordon and Breach, New York, London, Paris, 1969. Zbl0196.09901
  13. [13] H. SHIMA, Homogeneous Köhlerian Manifolds. Japan J. Math., Vol. 10, 1984, pp. 71-98. Zbl0587.32043MR88e:32053
  14. [14] S. SHIMIZU, Homogeneous Köhler Manifolds of Complex Dimension Two (Tôhoku Math. J., Vol. 34, 1982, pp. 53-63). Zbl0548.32006MR84h:32044
  15. [15] E. B. VINBERG, The Theory of Homogeneous Cones (Trans. Moscow Math. Soc., Vol. 12, 1963, pp. 340-403). Zbl0138.43301MR28 #1637

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