Harmonic maps with finite total energy
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Publication:4874333
DOI10.1090/S0002-9939-96-03170-XzbMath0871.53034OpenAlexW1543626816MaRDI QIDQ4874333
Shiu-Yuen Cheng, Luen-Fai Tam, Tom Yau-Heng Wan
Publication date: 21 April 1996
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03170-x
Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)
Related Items (9)
Convergence of harmonic maps on the Poincaré disk ⋮ Liouville theorems for \(f\)-harmonic maps into Hadamard spaces ⋮ Harmonic functions of general graph Laplacians ⋮ A generalized vector-valued variational principle in Fréchet spaces ⋮ Random walks and Kuramochi boundaries of infinite networks ⋮ Strong Minkowski separation and co-drop property ⋮ Area comparison, superharmonic functions, and applications ⋮ Analysis of weighted p-harmonic forms and applications ⋮ Parabolicity, the divergence theorem for \(\delta\)-subharmonic functions and applications to the Liouville theorems for harmonic maps
Cites Work
- Uniformly elliptic operators on Riemannian manifolds
- Compact group actions and the topology of manifolds with non-positive curvature
- Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
- The heat equation and harmonic maps of complete manifolds
- Green's functions, harmonic functions, and volume comparison
- The span and principal functions in Riemannian spaces
- Symmetric Green's Functions on Complete Manifolds
- A compactification of a manifold with asymptotically nonnegative curvature
- Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence
- On the Liouville Theorem for Harmonic Maps
- Harmonic functions on complete riemannian manifolds
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