Metrics on complex manifolds

DOI10.1007/s11425-010-0048-0zbMath1193.53151OpenAlexW2070417464MaRDI QIDQ973756

Shing Tung Yau

Publication date: 26 May 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-0048-0

zbMATH Keywords

Bergman metriccomplex manifoldStrominger systemCalabi-Yau metricgeneralized Bergman metrics

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (6)

On the \(p\)-Bergman theory ⋮ Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry ⋮ Canonical metrics on holomorphic Courant algebroids ⋮ Stability of the tangent bundle through conifold transitions ⋮ Geometric flows and supersymmetry ⋮ Heterotic solitons on four-manifolds

Cites Work

• Canonical metrics on the moduli space of Riemann surfaces. II
• Geometric model for complex non-Kähler manifolds with \(\operatorname{SU}(3)\) structure
• New results on the geometry of the moduli space of Riemann surfaces
• Compactifications of heterotic strings on non-Kähler complex manifolds. II
• The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
• The existence of supersymmetric string theory with torsion
• Canonical metrics on the moduli space of Riemann surfaces. I
• A geometric approach to problems in birational geometry

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