On the Nature of Thin Complements of Complete Kähler Metrics.
Klas Diederich, John Eric Fornaess (1984)
Mathematische Annalen
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Klas Diederich, John Eric Fornaess (1984)
Mathematische Annalen
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Wei-Yue Ding (1988)
Mathematische Annalen
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Jean Varouchas (1989)
Mathematische Annalen
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Khan, Viqar Azam, Khan, Khalid Ali (2009)
Beiträge zur Algebra und Geometrie
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Andrew Swann (1991)
Mathematische Annalen
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Wlodzimierz Jelonek (1996)
Mathematische Annalen
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Akito Futaki, Toshiki Mabuchi (1995)
Mathematische Annalen
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Tristan C. Collins, Valentino Tosatti (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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We prove an extension theorem for Kähler currents with analytic singularities in a Kähler class on a complex submanifold of a compact Kähler manifold.
Huai-Dong Cao (1985)
Inventiones mathematicae
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Koji Matsuo (2007)
Colloquium Mathematicae
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Let M̃ be an (m+r)-dimensional locally conformal Kähler (l.c.K.) manifold and let M be an m-dimensional l.c.K. submanifold of M̃ (i.e., a complex submanifold with the induced l.c.K. structure). Assume that both M̃ and M are pseudo-Bochner-flat. We prove that if r < m, then M is totally geodesic (in the Hermitian sense) in M̃. This is the l.c.K. version of Iwatani's result for Bochner-flat Kähler submanifolds.
Marcos Dajczer, Lucio Rodríguez (1991)
Journal für die reine und angewandte Mathematik
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Jürgen Bingener (1983)
Mathematische Zeitschrift
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Włodzimierz Jelonek (2012)
Colloquium Mathematicae
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The aim of this paper is to present examples of holomorphically pseudosymmetric Kähler metrics on the complex projective spaces ℂℙⁿ, where n ≥ 2.
Ken-ichi Sugiyama (1988)
Mathematische Annalen
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