Existence D'Applications Harmoniques Tordues a Valeurs Dans les Varietes a Courbure Negative

DOI10.2307/2048427zbMath0783.58016OpenAlexW4244471362MaRDI QIDQ3971112

François Labourie

Publication date: 25 June 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048427

zbMATH Keywords

twisted harmonic mapsnegatively curved manifoldstheorem of K. Corlette

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20) Differential geometry of symmetric spaces (53C35) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Equations in function spaces; evolution equations (58D25)

Related Items (15)

Equilibrium maps between metric spaces ⋮ The Kapustin-Witten equations and nonabelian Hodge theory ⋮ Foliations associated to harmonic maps on some complex two ball quotients ⋮ Numerically non-special varieties ⋮ Almost strict domination and anti‐de Sitter 3‐manifolds ⋮ Infinite energy equivariant harmonic maps, domination, and anti-de Sitter \(3\)-manifolds ⋮ Isometric group actions with vanishing rate of escape on \(\mathrm{CAT}(0)\) spaces ⋮ Higgs Bundles and Local Systems on Riemann Surfaces ⋮ Spaces of harmonic surfaces in non-positive curvature ⋮ Representations of complex hyperbolic lattices into rank 2 classical Lie groups of Hermitian type ⋮ Variations along the Fuchsian locus ⋮ Anosov flows, surface groups and curves in projective space ⋮ Equivariant harmonic maps depend real analytically on the representation ⋮ Poisson metrics and Higgs bundles over noncompact Kähler manifolds ⋮ Geometric superrigidity

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