References
Andreotti, A.,Théorèmes de dépendance algébrique sur les espaces complexes pseudo-concaves, Bull. Soc. Math. France91 (1963), 1–38.
—,On the complex structures of aclass of simply-connected manifolds, Algebraic-Geometry and Topology (A Symposium in honor of S. Lefschetz) Princeton University Press, Princeton, New Jersey (1957), 53–77.
Andreotti, A. andGrauert, H.,Algebraische Körper von automorphen Funktionen, Nachr. Akad. Wiss. Göttingen (1961), 39–48.
—,Théorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France90 (1962), 193–259.
—, andHuckleberry, A.,Pseudoconcave Lie groups, Compositio Math.25 (1972), 109–115.
—, andSiu, Y. T.,Projective imbeddings of pseudoconcave spaces, Ann. Scuola Norm. Sup. Pisa (3)24 (1970), 231–278.
Barth, W. andOtte, M.,Invariante holomorphe Funktionen auf reduktiven Liegruppen, Math. Ann.201 (1973), 97–112.
—,Über fast-uniforme Untergruppen komplexer Liegruppen und auflösbare komplexe Mannigfaltigkeiten, Comment. Math. Helv.44 (1969), 269–281.
Borel, A., andRemmert, R.,Über kompakte homogene Kählersche Mannigfaltigkeiten, Math. Ann.145 (1962), 429–439.
Gilligan, B., andHuckleberry, A.,Remarks on non-compact homogeneous manifolds (to appear).
Gillian, B., andHuckleberry, A.,On non-compact complex nil-manifolds (to appear).
Grauert, H.,Über Modifikationen und exzeptionelle analytische Mengen, Math. Ann.146 (1962), 331–368.
Hirzebruch, F.,Über eine Klasse von einfach-zusammenhangenden komplexen Mannigfaltigkeiten, Math. Ann.124 (1951), 77–86.
Kodaira, K.,On the structure of compact complex analytic surfaces II, Amer. J. Math.88 (1966), 682–721.
Laufer, H.,Normal two-dimensional singularities, Annals of Mathematics Studies 71, Princeton University Press, Princeton, New Jersey (1971).
Matsushima, Y.,Espaces homogènes de Stain des groupes de Lie complexes I, Nagoya Math. J.16 (1960), 205–218.
—,Espaces homogènes de Stein des groupes de Lie complexes II, Nagoya Math. J.18 (1961), 153–164.
Morimoto, A.,Non-compact complex Lie groups without non-constant holomorphic functions, Proceedings of the Conference on Complex Analysis, Minneapolis (1964), 256–272.
Oeljeklaus, E.,Ein Hebbarkeitssatz für Automorphismengruppen kompakter komplexer Manigfaltigkeiten, Math. Ann.190 (1970), 154–166.
Piatetski-Shapiro, I.,Automorphic functions and the geometry of classifical domains, Gordon and Breach, New York (1969).
Potters, J.,On almost homogeneous compact complex analytic surfaces, Inv. Math.8 (1969), 244–266.
Suwa, T.,Compact quotient spaces of C 2 by affine transformation groups, J. Diff. Geo.10 (1975), 239–252.
Tits, J.,Espaces homogènes complexes compacts, Comm. Math. Helv.,37 (1962), 111–120.
Wang, H. C.,Closed manifolds with homogeneous complex structure, Amer. J. Math.76 (1954), 1–32.
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Partially supported by NRC Operating Grant A-8739.
Partially supported by NSF Grant MCS 75-07086A01.
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Gilligan, B., Huckleberry, A. Pseudoconcave homogeneous surfaces. Commentarii Mathematici Helvetici 53, 429–438 (1978). https://doi.org/10.1007/BF02566088
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DOI: https://doi.org/10.1007/BF02566088