Hitchin's self-duality equations on complete Riemannian manifolds

DOI10.1007/BF01445258zbMath0862.58010WikidataQ115393527 ScholiaQ115393527MaRDI QIDQ2563407

Jiayu Li

Publication date: 28 May 1997

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

Full work available at URL: https://eudml.org/doc/165461

zbMATH Keywords

flat connectionHitchin connectioncomplete Riemannian manifoldsHitchin's self-duality

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Coverings in algebraic geometry (14E20) Riemann surfaces (30F99)

Related Items (1)

Poisson metrics and Higgs bundles over noncompact Kähler manifolds

Cites Work

• An existence theorem for harmonic maps
• Positive harmonic functions on complete manifolds of negative curvature
• Flat G-bundles with canonical metrics
• Compact group actions and the topology of manifolds with non-positive curvature
• On the essential spectrum of a complete Riemannian manifold
• Boundary value problems for Yang-Mills fields
• Archimedean superrigidity and hyperbolic geometry
• Harmonic maps of manifolds with boundary
• The heat flows and harmonic maps of complete noncompact Riemannian manifolds
• Stable and unitary vector bundles on a compact Riemann surface
• Harmonic Bundles on Noncompact Curves
• The Self-Duality Equations on a Riemann Surface
• Twisted Harmonic Maps and the Self-Duality Equations
• On Harnack's theorem for elliptic differential equations
• HARMONIC MAPS OF COMPLETE NONCOMPACT RIEMANNIAN MANIFOLDS
• Elliptic Partial Differential Equations of Second Order

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