First Pontrjagin form, rigidity and strong rigidity of nonpositively curved Kähler surface of general type

DOI10.1007/BF02572607zbMath0851.53042OpenAlexW2070771724MaRDI QIDQ1909540

Fang Yang Zheng

Publication date: 4 November 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174802

zbMATH Keywords

Kähler surfacenonpositive sectional curvaturePontryagin formstrong rigidity

Mathematics Subject Classification ID

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

Related Items (5)

Isometric embedding of Kähler manifolds with nonpositive sectional curvature ⋮ Intersection domains and the sum of two complex hyperbolic metrics ⋮ Compact Kähler manifolds homotopic to negatively curved Riemannian manifolds ⋮ Some results on compact Kähler surfaces with non-positive bisectional curvature ⋮ Kähler hyperbolic manifolds and Chern number inequalities

Cites Work

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• The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
• Negatively curved metrics on Kodaira surfaces
• Negatively \(1\over 4\)-pinched Riemannian metric on a compact Kähler manifold
• Rigidity of lattices of non-positive curvature
• Applications of harmonic maps to Kähler geometry
• Calabi's conjecture and some new results in algebraic geometry
• Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
• A Theorem on Holonomy

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