On the curvature tensor of the Hodge metric of moduli space of polarized Calabi-Yau threefolds

DOI10.1007/BF02930760zbMath1027.32022arXivmath/0505583MaRDI QIDQ1608513

Zhiqin Lu

Publication date: 8 August 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505583

zbMATH Keywords

curvature tensorestimatesHode metricmoduli space of a polarized Calabi-Yau threefoldsymmetricity of the Yukawa coupling

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Complex-analytic moduli problems (32G13) Period matrices, variation of Hodge structure; degenerations (32G20) Deformations of complex structures (32G05) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (1)

Gauss-Bonnet-Chern theorem on moduli space

Cites Work

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• Weil-Petersson metric in the moduli space of compact polarized Kähler- Einstein manifolds of zero first Chern class
• Compactification of complete Kähler surfaces of finite volume satisfying certain curvature conditions
• Compactification of Kähler manifolds with negative Ricci curvature
• Special Kähler manifolds
• A note on special Kähler manifolds
• Compactifying complete Kähler-Einstein manifolds of finite topological type and bounded curvature
• Topics in Transcendental Algebraic Geometry. (AM-106)
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• On the Hodge metric of the universal deformation space of Calabi-Yau threefolds

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