A Liouville Theorem for Harmonic Maps

DOI10.2307/2375088zbMath0839.53027OpenAlexW2322144662MaRDI QIDQ4850795

Ying Shen

Publication date: 18 June 1996

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2375088

zbMATH Keywords

harmonic mapvanishing theoremhoroballprescribed Ricci curvaturenonexistence of complete metrics

Mathematics Subject Classification ID

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

Related Items (7)

Complete submanifolds of manifolds of negative curvature ⋮ F-harmonic maps within bounded distance from quasi-isometric maps ⋮ Unnamed Item ⋮ Omori-Yau maximum principles, \(V\)-harmonic maps and their geometric applications ⋮ Harmonic maps with potential from complete manifolds ⋮ On the Dirichlet problem for harmonic maps with prescribed singularities ⋮ Gradient estimate and Liouville theorems for \(p\)-harmonic maps

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