Group actions, gauge transformations, and the calculus of variations

DOI10.1007/BF01444737zbMath0772.53011MaRDI QIDQ1204232

Juergen Jost, Xiao-Wei Peng

Publication date: 3 March 1993

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

Full work available at URL: https://eudml.org/doc/164978

zbMATH Keywords

Riemannian metricTeichmüller spacecurvatureBanach manifoldBanach Lie group

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Connections (general theory) (53C05) Manifolds of metrics (especially Riemannian) (58D17)

Related Items

Asymptotic behavior of the \(L^ 2\)-metric on moduli spaces of Yang-Mills connections. II ⋮ From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory: at the interface of theoretical physics, Riemannian geometry, and nonlinear analysis ⋮ Asymptotic behavior of the \(L^ 2\)-metric on moduli spaces of Yang-Mills connections ⋮ Curvature of hyperkähler quotients ⋮ Kähler structure on moduli spaces of principal bundles

Cites Work

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• The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group
• A regularity theory for harmonic maps
• The symplectic nature of fundamental groups of surfaces
• Chern forms and the Riemann tensor for the moduli space of curves
• On a natural algebraic affine connection on the space of almost complex structures and the curvature of Teichmüller space with respect to its Weil-Petersson metric
• Geometry of anti-self-dual connections and Kuranishi map
• On an energy function for the Weil-Petersson metric on Teichmüller space
• The Riemannian geometry of the Yang-Mills moduli space
• The Teichmüller theory of harmonic maps
• On the geometry of Sp(1)-instantons with Pontrjagin index 1 on the 4- sphere
• Harmonic gauges on Riemann surfaces and stable bundles
• On the existence of harmonic diffeomorphisms between surfaces
• A fibre bundle description of Teichmüller theory
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• Riemannsche Hilbertmannigfaltigkeiten. Periodische Geodätische. Mit einem Anhang von H. Karcher
• ON THE GEOMETRY OF MODULI SPACES OF VECTOR BUNDLES OVER A RIEMANN SURFACE
• Harmonic maps and curvature computations in Teichmüller theory
• On the Weil-Petersson Metric on Teichmuller Space
• The Self-Duality Equations on a Riemann Surface
• THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS
• The Yang-Mills equations over Riemann surfaces