Liouville theorems for harmonic maps

DOI10.1007/BF02100594zbMath0768.53016MaRDI QIDQ1207416

Zhiren Jin

Publication date: 1 April 1993

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

Full work available at URL: https://eudml.org/doc/143983

zbMATH Keywords

asymptotic behavior

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)

Related Items (17)

Liouville theorems for \(F\)-harmonic maps and their applications ⋮ An energy estimate of an exterior problem and a Liouville theorem for harmonic maps ⋮ Unnamed Item ⋮ Notes on anisotropic Liouville-type theorems for 3D stationary nematic liquid crystal equations ⋮ Complete submanifolds of manifolds of negative curvature ⋮ On Liouville-type theorems for the stationary nematic liquid crystal equations ⋮ The geometry of \(\Phi_{( 3 )}\)-harmonic maps ⋮ A stochastic approach to a priori estimates and Liouville theorems for harmonic maps ⋮ Unnamed Item ⋮ ENERGY ESTIMATES AND LIOUVILLE THEOREMS FOR HARMONIC MAPS ⋮ The geometry of \(\Phi_S\)-harmonic maps ⋮ Liouville type theorems and stability of \(\Phi_{S,p}\)-harmonic maps ⋮ A remark on the quasi-harmonic spheres ⋮ Liouville-type theorems for CC-harmonic maps from Riemannian manifolds to pseudo-Hermitian manifolds ⋮ Liouville-type theorems for \(CC\)-\(F\)-harmonic maps into a Carnot group ⋮ Liouville theorems for self-similar solutions of heat flows ⋮ Gradient estimate and Liouville theorems for \(p\)-harmonic maps

Cites Work

• Harmonic mappings and minimal submanifolds
• An existence theorem for harmonic mappings of Riemannian manifolds
• Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
• On finite action solutions of the nonlinear sigma-model
• Another Report on Harmonic Maps
• Some conditions ensuring the vanishing of harmonic differential forms with applications to harmonic maps and Yang-Mills theory
• Two‐dimensional variational problems with obstructions, and Plateau's problem for h‐surfaces in a riemannian manifold
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