Some classifications of \infty-Harmonic maps between Riemannian manifolds

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dc.creatorWang, Ze-Ping
dc.creatorOu, Ye-Lin
dc.date2007-10-30
dc.date.accessioned2026-07-07T08:39:37Z
dc.date.available2026-07-07T08:39:37Z
dc.description$\infty$-Harmonic maps are a generalization of $\infty$-harmonic functions. They can be viewed as the limiting cases of p-harmonic maps as p goes to infinity. In this paper, we give complete classifications of linear and quadratic $\infty$-harmonic maps from and into a sphere, quadratic $\infty$-harmonic maps between Euclidean spaces. We describe all linear and quadratic $\infty$-harmonic maps between Nil and Euclidean spaces, between Sol and Euclidean spaces. We also study holomorphic $\infty$-harmonic maps between complex Euclidean spaces.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0710.5752
dc.identifierhttp://arxiv.org/abs/0710.5752
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141135
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject58E20, 53C12
dc.titleSome classifications of \infty-Harmonic maps between Riemannian manifolds
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