Symmetric curvature-like tensors on a semi-definite Kähler manifolds.
Pyo, Yong-Soo, Kim, Hyang Sook (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Pyo, Yong-Soo, Kim, Hyang Sook (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Jaeman Kim (2006)
Czechoslovak Mathematical Journal
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On a 4-dimensional anti-Kähler manifold, its zero scalar curvature implies that its Weyl curvature vanishes and vice versa. In particular any 4-dimensional anti-Kähler manifold with zero scalar curvature is flat.
Pyo, Y.-S., Kim, H.S. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Shing Tung Yau, Gang Tian (1991)
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Sai-Kee Yeung (1990)
Mathematische Zeitschrift
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Lemence, R.S., Oguro, T., Sekigawa, K. (2004)
International Journal of Mathematics and Mathematical Sciences
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Sai Kee Yeung (1991)
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Sato, Takuji (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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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.
Jeon, Hyang Seon, Pyo, Yong-Soo (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Zbigniew Olszak (2003)
Colloquium Mathematicae
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It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.
Huai-Dong Cao, Bennett Chow (1986)
Inventiones mathematicae
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