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December 2011 On p-harmonic maps into spheres
Sorin Dragomir, Andrea Tommasoli
Tsukuba J. Math. 35(2): 161-167 (December 2011). DOI: 10.21099/tkbjm/1331658701

Abstract

We study the topology of p-harmonic maps ϕ : MSν from a compact Riemannian manifold M into a sphere Sν. We also show that any p-energy minimizing map ϕ : MSν omitting a totally geodesic submanifold of codimension two Ε Sν is of class C1. This extends results by B. Solomon, [13], from harmonic to p-harmonic maps.

Citation

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Sorin Dragomir. Andrea Tommasoli. "On p-harmonic maps into spheres." Tsukuba J. Math. 35 (2) 161 - 167, December 2011. https://doi.org/10.21099/tkbjm/1331658701

Information

Published: December 2011
First available in Project Euclid: 13 March 2012

zbMATH: 1244.58005
MathSciNet: MR2918314
Digital Object Identifier: 10.21099/tkbjm/1331658701

Rights: Copyright © 2011 University of Tsukuba, Institute of Mathematics

Vol.35 • No. 2 • December 2011
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