Complete real Kähler minimal submanifolds.
Marcos Dajczer, Lucio Rodríguez (1991)
Journal für die reine und angewandte Mathematik
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Marcos Dajczer, Lucio Rodríguez (1991)
Journal für die reine und angewandte Mathematik
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Georgi Ganchev, Vesselka Mihova (2008)
Open Mathematics
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The Kähler manifolds of quasi-constant holomorphic sectional curvatures are introduced as Kähler manifolds with complex distribution of codimension two, whose holomorphic sectional curvature only depends on the corresponding point and the geometric angle, associated with the section. A curvature identity characterizing such manifolds is found. The biconformal group of transformations whose elements transform Kähler metrics into Kähler ones is introduced and biconformal tensor invariants...
Thomas Fiedler (1988)
Mathematische Annalen
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Philippe Delanoë (1990)
Compositio Mathematica
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Jeon, Hyang Seon, Pyo, Yong-Soo (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Luis A. Florit, Fangyang Zheng (2007)
Annales de l’institut Fourier
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In this note we show that any complete Kähler (immersed) Euclidean hypersurface must be the product of a surface in with an Euclidean factor .
Włodzimierz Jelonek (2014)
Colloquium Mathematicae
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The aim of this paper is to describe all Kähler manifolds with quasi-constant holomorphic sectional curvature with κ = 0.
Kazumi Tsukada (1986)
Mathematische Annalen
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Lucia Alessandrini, Marco Andreatta (1987)
Compositio Mathematica
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Khan, Viqar Azam, Khan, Khalid Ali (2009)
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.
Julien Keller, Christina Tønnesen-Friedman (2012)
Open Mathematics
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We provide nontrivial examples of solutions to the system of coupled equations introduced by M. García-Fernández for the uniformization problem of a triple (M; L; E), where E is a holomorphic vector bundle over a polarized complex manifold (M, L), generalizing the notions of both constant scalar curvature Kähler metric and Hermitian-Einstein metric.