Non-Holomorphic Harmonic morhpisms form Kähler manifolds.
Sigmundur Gudmundsson (1994)
Manuscripta mathematica
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Sigmundur Gudmundsson (1994)
Manuscripta mathematica
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J. Eells, S. Salamon (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Terence Napier, Mohan Ramachandran (1997)
Annales de l'institut Fourier
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It is proved that if is a weakly 1-complete Kähler manifold with only one end, then or there exists a proper holomorphic mapping of onto a Riemann surface.
C. M. Wood (1995)
Compositio Mathematica
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F. E. Burstall (1986)
Mathematische Annalen
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Ngaiming Mok (2000)
Annales de l'institut Fourier
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We prove fibration theorems on compact Kähler manifolds with conditions on first cohomology groups of fundamental groups with respect to unitary representations into Hilbert spaces. If the fundamental group T of compact Kähler manifold X violates Property (T) of Kazhdan’s, then for some unitary representation . By our earlier work there exists a -closed holomorphic 1-form with coefficients twisted by some unitary representation , possibly non-isomorphic to . Taking norms we obtains...
Erdem, Sadettin (1999)
Beiträge zur Algebra und Geometrie
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Jean-Pierre Demailly, Thomas Peternell, Michael Schneider (1996)
Compositio Mathematica
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