Equivariant holomorphic extensions of real analytic manifolds
Peter Heinzner (1993)
Bulletin de la Société Mathématique de France
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Peter Heinzner (1993)
Bulletin de la Société Mathématique de France
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Xiang-Yu Zhou (1997)
Annales de l'institut Fourier
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Given a compact connected Lie group . For a relatively compact -invariant domain in a Stein -homogeneous space, we prove that the automorphism group of is compact and if is semisimple, a proper holomorphic self mapping of is biholomorphic.
Christoph Gellhaus, Tilmann Wurzbacher (2001)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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H. Blaine Lawson, Stephen S.-T. Yau (1987)
Annales scientifiques de l'École Normale Supérieure
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Huckleberry, Alan T., Wolf, Joseph A. (2004)
Journal of Lie Theory
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Jörg Winkelmann (1997)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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For a complex solvable Lie group acting holomorphically on a Kähler manifold every closed orbit is isomorphic to a torus and any two such tori are isogenous. We prove a similar result for singular Kähler spaces.