Monotonicity formulae and Liouville theorems of harmonic maps with potential

DOI10.1016/j.geomphys.2012.04.008zbMath1244.35023OpenAlexW2020083550MaRDI QIDQ442543

Guilin Yang, Yibin Ren, Tian Chong, He-Zi Lin

Publication date: 1 August 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2012.04.008

zbMATH Keywords

Liouville theoremharmonic maps with potentialstress-energy tensor

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (7)

Some remarks on energy inequalities for harmonic maps with potential ⋮ Vanishing theorems for \(f\)-\(CC\) stationary maps with potential \(H\) into Grushin spaces ⋮ A MONOTONICITY FORMULA AND A LIOUVILLE TYPE THEOREM OF V-HARMONIC MAPS ⋮ Liouville type theorems of \(f\)-harmonic maps with potential ⋮ Nonlinear Dirac equations, monotonicity formulas and Liouville theorems ⋮ Exponentially harmonic maps carrying potential ⋮ Some aspects of Dirac-harmonic maps with curvature term

Cites Work

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• On vanishing theorems for vector bundle valued \(p\)-forms and their applications
• Function theory on manifolds which possess a pole
• Stress-energy tensors and the Lichnerowicz Laplacian
• Liouville theorem for harmonic maps with potential
• Harmonic maps with potential from complete manifolds
• Harmonic maps with potential

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