Integrality of characteristic numbers on complete Kähler manifolds.
Sai Kee Yeung (1991)
Mathematische Annalen
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Displaying similar documents to “Chern classes and Bochner-Kaehler metrics”
Integrality of characteristic numbers on complete Kähler manifolds.
On the transverse Scalar Curvature of a Compact Sasaki Manifold
Weiyong He (2014)
Complex Manifolds
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We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the constant scalar curvature metrics in Sasaki geometry with only few modification. We prove that the space of Sasaki metrics is an infinite dimensional symmetric space and that the transverse scalar curvature of a Sasaki metric is a moment...
On the Chern-type problem in Kähler geometry.
Pyo, Yong-Soo, Shin, Kyoung-Hwa (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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On the Scalar Curvature of Complex Surfaces.
C. LeBrun (1995)
Geometric and functional analysis
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Biholomorphic curvature of an almost Hermitian manifold.
Prvanović, Mileva (1999)
Novi Sad Journal of Mathematics
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Classification of Randers metrics of scalar flag curvature.
Cheng, Xinyue, Shen, Zhongmin (2008)
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Kähler submanifolds with lower bounded totally real bisectional curvature tensor.
Jeon, Hyang Seon, Pyo, Yong-Soo (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Constant scalar curvature metrics on connected sums.
Joyce, Dominic (2003)
International Journal of Mathematics and Mathematical Sciences
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On Sectional Curvature of Indefinite Metrics, II.
Katsumi Nomizu, Marcos Dajczer (1980)
Mathematische Annalen
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On Gauss-Bonnet curvatures.
Labbi, Mohammed-Larbi (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Curvature contents of geometric spaces.
Lohkamp, Joachim (1998)
Documenta Mathematica
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4-dimensional anti-Kähler manifolds and Weyl curvature
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.