Compact Hermitean Manifolds of Constant Holomorphic Sectional Curvature.
Andrew Balas (1985)
Mathematische Zeitschrift
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Displaying similar documents to “Hermitian Metrics of Negative Holomorphic Sectional Curvature on Some Hyperbolic Manifolds.”
Compact Hermitean Manifolds of Constant Holomorphic Sectional Curvature.
Almost Hermitian manifolds with constant holomorphic sectional curvature
Alfred Gray, Lieven Vanhecke (1979)
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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 surfaces of constant holomorphic sectional curvature.
Kouei Sekigawa, Takuji Sato (1990)
Mathematische Zeitschrift
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Biholomorphic curvature of an almost Hermitian manifold.
Prvanović, Mileva (1999)
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Curvature and holomorphic mappings of complete Kähler manifolds
Peter Li, Shing-Tung Yau (1990)
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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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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.
Isotropic sections and curvature properties of hyperbolic Kaehlerian manifolds.
Ganchev, Georgi, Borisov, Adriyan (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Kähler tubes of constant radial holomorphic sectional curvature.
Ana Lluch, Vicente Miquel (1997)
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On a Bianchi-type identity for the almost hermitian manifolds
Giovanni Battista Rizza (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Almost hermitian manifolds, whose Riemann curvature tensor satisfies an almost complex Bianchi-type identity, are considered. Some local and global theorems are proved. The special cases of parakähler manifolds and of Kähler manifolds are examined.