A classification of strictly pseudoconcave homogeneous manifolds
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1981)
- Volume: 8, Issue: 2, page 231-255
- ISSN: 0391-173X
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topHuckleberry, A. T., and Snow, D.. "A classification of strictly pseudoconcave homogeneous manifolds." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 8.2 (1981): 231-255. <http://eudml.org/doc/83857>.
@article{Huckleberry1981,
author = {Huckleberry, A. T., Snow, D.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {holomorphic action of complex Lie group; homogeneous strictly pseudoconcave complex manifold; Lie group},
language = {eng},
number = {2},
pages = {231-255},
publisher = {Scuola normale superiore},
title = {A classification of strictly pseudoconcave homogeneous manifolds},
url = {http://eudml.org/doc/83857},
volume = {8},
year = {1981},
}
TY - JOUR
AU - Huckleberry, A. T.
AU - Snow, D.
TI - A classification of strictly pseudoconcave homogeneous manifolds
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1981
PB - Scuola normale superiore
VL - 8
IS - 2
SP - 231
EP - 255
LA - eng
KW - holomorphic action of complex Lie group; homogeneous strictly pseudoconcave complex manifold; Lie group
UR - http://eudml.org/doc/83857
ER -
References
top- [1] A. Andreotti - Y.T. Siu, Projective imbeddings of pseudoconcaves spaces, Ann. Scuola Norm. Sup. Pisa, (3) 23 (1970), pp. 231-278. Zbl0195.36901MR265633
- [2] S. Bochner - D. Montgomery, Groups on analytic manifolds, Ann. of Math., (2) 48 (1947), pp. 659-669. Zbl0030.07501MR22223
- [3] A. Borel - R. Remmert, Über kompakte homogene Kählersche Mannigfaltigkeiten, Math. Ann., 145 (1962), pp. 429-439. Zbl0111.18001MR145557
- [4] C. Chevalley, Theory of Lie Groups, Princeton University Press, Princeton, 1946. Zbl0063.00842
- [5] M. Cornalba - P. Griffiths, Analytic cycles and vector bundles on non-compact algebraic varieties, Invent. Math.,28 (1975), pp. 1-106. Zbl0293.32026MR367263
- [6] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962. Zbl0111.18101MR145455
- [7] A. Huckleberry, Holomorphic fibrations of bounded domains, Math. Ann., 227 (1977), pp. 61-66. Zbl0346.32037MR435457
- [8] A. Huckleberry - E. Oelijeklaus, A characterization of homogeneous cones, Math. Z., 170 (1980), pp. 181-194. Zbl0412.32030MR562587
- [9] A. Huckleberry - D. Snow, Pseudoconcave homogeneous manifolds, Ann. Scuola Norm. Sup. Pisa, (4) 7 (1980), pp. 29-54. Zbl0506.32015MR577324
- [10] W. Kaup, Reelle Transformationsgruppen und invariante Metriken auf komplexen Räumen, Invent. Math., 3 (1967), pp. 43-70. Zbl0157.13401MR216030
- [11] H. Kerner, Über die Automorphismengruppen kompakter komplexer Räume, Arch. Math., 11 (1960), pp. 282-288. Zbl0112.31205MR117759
- [12] Y. Matsushima, Espaces homogènes de Stein des groupes de Lie complexes I, Nagoya Math. J., 16 (1960), pp. 205-218. Zbl0094.28201MR109854
- [13] A. Morimoto - T. Nagano, On pseudoconformal transformations of hypersurfaces, J. Math. Soc. Japan, 15 (1963), pp. 289-300. Zbl0119.06701MR155341
- [14] T. Nagano, Transformation groups with (n —1)-dimensional orbits on non-compact manifolds, Nagoya Math. J., 14 (1959), pp. 25-38. Zbl0100.18004MR104760
- [15] T. Nagano, Transformation groups on compact symmetric spaces, Trans. Amer. Math. Soc., 118 (1965), pp. 428-453. Zbl0151.28801MR182937
- [16] E. Oeljeklaus, Ein Hebbarkeitssatz für Automorphismengruppen kompakter komplexer Mannigfaltigkeiten, Math. Ann., 190 (1970), pp. 154-166. Zbl0195.36902MR279332
- [17] R. Remmert - K. Stein, Über die wesentlichen singularitäten analytischer Mengen, Math. Ann., 126 (1953), pp. 263-306. Zbl0051.06303MR60033
- [18] R. Remmert - T. Van De Ven, Zur Funktionentheorie homogener komplexer Mannigfaltigkeiten, Topology, 2 (1963), pp. 137-157. Zbl0122.08602MR148085
- [19] H. Rossi, Holomorphically convex sets in several complex variables, Ann. of Math., (2) 74 (1961), pp. 470-493. Zbl0107.28601MR133479
- [20] H. Rossi, Vector fields on analytic spaces, Ann. of Math., (3) 78 (1963), pp. 455-467. Zbl0129.29701MR162973
- [21] H. Rossi, Attaching analytic spaces to an analytic space along a smooth pseudoconcave boundary, Proc. of the Conf. on Complex Analysis, Minneapolis1964, Springer Verlag, 1965. Zbl0143.30301MR176106
- [22] H. Rossi, Homogeneous strongly pseudoconvex hypersurfaces, Rice Univ. Studies Nos. 1, 2, 59 (1973), pp. 131-145. Zbl0277.32011MR330514
- [23] J.P. Serre, Quelques problèmes globaux relatifs aux variétés de Stein, Coll. sur les fonctions de plusieurs variables, Bruxelles (1953), pp. 57-68. Zbl0053.05302MR64155
- [24] R. Wells, Function theory on differentiable submanifolds, preprint. Zbl0293.32001MR357856
- [25] J.A. Wolf, The action of a real semi-simple group on a complex flag manifold.- I: Orbit structure and holomorphic arc components, Bull. Amer. Math. Soc., 6 (1969), pp. 1121-1237. Zbl0183.50901MR251246
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