On p-harmonic maps into spheres

Sorin Dragomir; Andrea Tommasoli

doi:10.21099/tkbjm/1331658701

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Home > Journals > Tsukuba J. Math. > Volume 35 > Issue 2 > Article

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

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Abstract

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

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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