Geometric realizations of Hermitian curvature models

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概要

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• We show that a Hermitian algebraic curvature model satisfies the Gray identity if and only if it is geometrically realizable by a Hermitian manifold. Furthermore, such a curvature model can in fact be realized by a Hermitian manifold of constant scalar curvature and constant $\star$-scalar curvature which satisfies the Kaehler condition at the point in question.

• 社団法人 日本数学会の論文
• 2010-07-01

著者

• Brozos-vazquez Miguel

  Department Of Mathematics University Of A Coruna

• Gilkey Peter

  Mathematics Department University Of Oregon

• KANG Hyunsuk

  School of Mathematics University of Birmingham

• NIKCEVIC Stana

  Mathematical Institute

関連論文

• The eigenforms of the complex Laplacian for a Hermitian submersion
• Geometric realizations of Hermitian curvature models
• Geometric realizations of curvature
• Eigenforms of the Laplacian for Riemannian $V$-submersions

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