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Regularity of \(p\)-harmonic maps into certain manifolds with positive sectional curvature. (English) Zbl 0827.58012

By using the Hardt-Lin regularity theorem for \(p\)-harmonic maps the singular sets have been analyzed in the cases when the target manifolds are certain submanifolds in Euclidean space, compact irreducible homogeneous spaces and completely simply connected \(\delta\)-pinched manifolds. Several related Liouville-type theorems of harmonic maps into those manifolds are also established.

MSC:

58E20 Harmonic maps, etc.
53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
53C30 Differential geometry of homogeneous manifolds
53C20 Global Riemannian geometry, including pinching
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