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arXiv · 1902.03134

Higher-power harmonic maps and sections

A. Ramachandran·C. M. Wood
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Abstract

The variational theory of higher-power energy is developed for mappings between Riemannian manifolds, and more generally sections of submersions of Riemannian manifolds, and applied to sections of Riemannian vector bundles and their sphere subbundles. A complete classification is then given for left-invariant vector fields on 3-dimensional unimodular Lie groups equipped with an arbitrary left-invariant Riemannian metric.

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A. Ramachandran, C. M. Wood. 2019-02-08. Higher-power harmonic maps and sections. https://arxiv.org/abs/1902.03134

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