\(F\)-harmonic maps as global maxima

DOI10.1007/s11587-012-0140-6zbMath1304.58012arXiv1210.1828OpenAlexW2105372298MaRDI QIDQ480315

Mohammed Benalili, Hafida Benallal

Publication date: 8 December 2014

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1828

zbMATH Keywords

stress-energy tensor\(F\)-harmonic maps\(F\)-tension

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Potential theory on Riemannian manifolds and other spaces (31C12)

Cites Work

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• Some properties of \(F\)-harmonic maps
• Harmonic vector fields on compact Lorentz surfaces
• On vanishing theorems for vector bundle valued \(p\)-forms and their applications
• Liouville theorems of stable \(F\)-harmonic maps for compact convex hypersurfaces
• Some results on stable harmonic maps
• Immersions minimales, première valeur propre du laplacien et volume conforme. (Minimal immersions, first eigenvalue of the Laplacian and conformal volume)
• The existence of minimal immersions of 2-spheres
• An inequality of ``Reilly-type for submanifolds of the hyperbolic space
• Harmonic maps into Lie groups and homogeneous spaces
• Harmonic maps, pluriharmonic maps and existence of non-trivial parallel 2-forms
• Geometry of \(F\)-harmonic maps
• Morse index of \(p\)-harmonic maps
• \(f\)-harmonic maps which map the boundary of the domain to one point in the target
• Nonexistence results of minimal immersions
• Some results on stable p-harmonic maps
• Stability of \(F\)-harmonic maps into pinched manifolds
• Instability and nonexistence theorems for \(F\)-harmonic maps

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