On p-harmonic maps into spheres
Sorin Dragomir and Andrea Tommasoli
Source: Tsukuba J. Math.
Volume 35, Number 2
We study the topology of p-harmonic maps ϕ : M →Sν from a compact Riemannian manifold M into a sphere Sν. We also show that any p-energy minimizing map ϕ : M → Sν omitting a totally geodesic submanifold of codimension two Ε Sν is of class C1. This extends results by B. Solomon, , from harmonic to p-harmonic maps.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tkbjm/1331658701
Zentralblatt MATH identifier: 06020898
Mathematical Reviews number (MathSciNet): MR2918314