Negatively \(1\over 4\)-pinched Riemannian metric on a compact Kähler manifold

DOI10.1007/BF01239525zbMath0792.53064WikidataQ115393791 ScholiaQ115393791MaRDI QIDQ1174472

Fang Yang Zheng, Shing Tung Yau

Publication date: 25 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143868

zbMATH Keywords

uniformizationChern numbers

Mathematics Subject Classification ID

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

Related Items (10)

Complex hyperbolic manifolds and exotic smooth structures ⋮ First Pontrjagin form, rigidity and strong rigidity of nonpositively curved Kähler surface of general type ⋮ Riemannian hyperbolization ⋮ Kähler-Einstein surface and symmetric space ⋮ The Differentiable Sphere Theorem (After S. Brendle and R. Schoen) ⋮ Manifolds with 1/4-pinched flag curvature ⋮ KÄHLER MANIFOLDS AND FUNDAMENTAL GROUPS OF NEGATIVELY δ-PINCHED MANIFOLDS ⋮ Almost quarter-pinched Kähler metrics and Chern numbers ⋮ RC-positivity and rigidity of harmonic maps into Riemannian manifolds ⋮ Geometric superrigidity

Cites Work

• Unnamed Item
• Unnamed Item
• A geometric characterization of negatively curved locally symmetric spaces
• Harmonic mappings of Kähler manifolds to locally symmetric spaces
• Pinching constants for hyperbolic manifolds
• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• Applications of harmonic maps to Kähler geometry
• Calabi's conjecture and some new results in algebraic geometry
• Compact four-dimensional Einstein manifolds

This page was built for publication: Negatively \(1\over 4\)-pinched Riemannian metric on a compact Kähler manifold