On Holomorphic and Anti-Holomorphic Sectional Curvature of Indefinite Kähler Manifolds of Real Dimension n... 6.
Demir N. Kupeli (1993)
Manuscripta mathematica
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Demir N. Kupeli (1993)
Manuscripta mathematica
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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.
Prvanović, Mileva (1999)
Novi Sad Journal of Mathematics
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Mircea Puta, Andrei Török (1988)
Časopis pro pěstování matematiky
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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.
Oproiu, V. (1997)
General Mathematics
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Peter Li, Shing-Tung Yau (1990)
Compositio Mathematica
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Sai Kee Yeung (1991)
Mathematische Annalen
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Manuel Barros, Alfonso Romero (1982)
Mathematische Annalen
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Jeon, Hyang Seon, Pyo, Yong-Soo (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Pyo, Yong-Soo, Shin, Kyoung-Hwa (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Zbigniew Olszak (1984)
Banach Center Publications
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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...