On the Curvature of Compact Hermitian Manifolds.
Shing-Tung Yau (1974)
Inventiones mathematicae
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Displaying similar documents to “Hermitian metrics of semi-negative curvature on quotients of bounded symmetric domains.”
On the Curvature of Compact Hermitian Manifolds.
Pseudo-Bochner curvature tensor on Hermitian manifolds
Koji Matsuo (1999)
Colloquium Mathematicae
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Our main purpose of this paper is to introduce a natural generalization of the Bochner curvature tensor on a Hermitian manifold provided with the Hermitian connection. We will call the pseudo-Bochner curvature tensor. Firstly, we introduce a unique tensor P, called the (Hermitian) pseudo-curvature tensor, which has the same symmetries as the Riemannian curvature tensor on a Kähler manifold. By using P, we derive a necessary and sufficient condition for a Hermitian manifold to be...
Erratum: Spectra of Compact Locally Symmetric Manidfolds of Negative Curvature.
J.J. Duistermaat, J.A.C. Kolk (1979)
Inventiones mathematicae
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Uniqueness Theorems of Kähler Metrics of Semipositive Bisectional Curvature on Compact Hermitian Symetric Spaces.
Ngaiming Mok (1986)
Mathematische Annalen
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On the Sum of the Hermitian Scalar Curvatures of a Compact Hermitian Manifold.
Andrew Balas (1987)
Mathematische Zeitschrift
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On the Characters of the Directe Series. The Hermitian Symmetric Case.
Winfried Schmid (1975)
Inventiones mathematicae
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Vanishing Theorems on Compact Hermitian Symmetric Spaces.
Dennis M. Snow (1988)
Mathematische Zeitschrift
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Biholomorphic curvature of an almost Hermitian manifold.
Prvanović, Mileva (1999)
Novi Sad Journal of Mathematics
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Mixed models for reductive dual pairs and Siegel domains for Hermitian symmetric spaces.
Leslie, C.S. (2002)
Journal of Lie Theory
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Any Hermitian Metric of Constant Non-Positive (Hermitian) Holomorphic Sectional Curvature on a Compact Complex Surface is Kähler.
Paul Gauduchon, Andrew Balas (1985)
Mathematische Zeitschrift
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Hermitian Manifolds of Pointwise Constant Antiholomorphic Sectional Curvatures
Ganchev, Georgi, Kassabov, Ognian (2007)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 53B35, Secondary 53C50. In dimension greater than four, we prove that if a Hermitian non-Kaehler manifold is of pointwise constant antiholomorphic sectional curvatures, then it is of constant sectional curvatures.
Almost Hermitian surfaces with vanishing Tricerri-Vanhecke Bochner curvature tensor
Y. Euh, J. Lee, J. H. Park, K. Sekigawa, A. Yamada (2011)
Colloquium Mathematicae
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We study the curvature properties of almost Hermitian surfaces with vanishing Bochner curvature tensor as defined by Tricerri and Vanhecke. Local structure theorems for such almost Hermitian surfaces are provided, and several examples related to these theorems are given.
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...