On the existence of bounded holomorphic functions on complete Kähler manifolds.
John S. Bland (1985)
Inventiones mathematicae
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John S. Bland (1985)
Inventiones mathematicae
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Erdem, Sadettin (1999)
Beiträge zur Algebra und Geometrie
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Włodzimierz Jelonek (2009)
Colloquium Mathematicae
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The aim of this paper is to present the first examples of compact, simply connected holomorphically pseudosymmetric Kähler manifolds.
Demir N. Kupeli (1993)
Manuscripta mathematica
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Ngaiming Mog (1986)
Mathematische Zeitschrift
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F. E. Burstall (1986)
Mathematische Annalen
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Indranil Biswas, Benjamin McKay (2016)
Complex Manifolds
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We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kähler manifold. This shows that many complex manifolds admit no or few holomorphic Cartan geometries.
Ngaiming Mok (1997)
Journal für die reine und angewandte Mathematik
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Wolfgang Arendt (2016)
Concrete Operators
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Holomorphic and harmonic functions with values in a Banach space are investigated. Following an approach given in a joint article with Nikolski [4] it is shown that for bounded functions with values in a Banach space it suffices that the composition with functionals in a separating subspace of the dual space be holomorphic to deduce holomorphy. Another result is Vitali’s convergence theorem for holomorphic functions. The main novelty in the article is to prove analogous results for harmonic...
Alan T. Huckleberry, Ellen Ormsby (1978/79)
Manuscripta mathematica
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Lucia Alessandrini, Marco Andreatta (1987)
Compositio Mathematica
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Terrence Napier, Mohan Ramachandran (0)
Annales de l’institut Fourier
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Domingo Toledo (1979)
Mathematica Scandinavica
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