Hermitian surfaces of constant holomorphic sectional curvature.

Kouei Sekigawa; Takuji Sato

Displaying similar documents to “Hermitian surfaces of constant holomorphic sectional curvature.”

Compact Hermitean Manifolds of Constant Holomorphic Sectional Curvature.

Andrew Balas (1985)

Mathematische Zeitschrift

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Hermitian Metrics of Negative Holomorphic Sectional Curvature on Some Hyperbolic Manifolds.

Chi-Keung Cheung (1989)

Mathematische Zeitschrift

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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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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.