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Energy and volume of unit vector fields on three-dimensional Riemannian manifolds

By J.C. González-Dávila and L. Vanhecke

Abstract

AbstractWe study the stability and instability of harmonic and minimal unit vector fields and the existence of absolute minima for the energy and volume functional on three-dimensional compact manifolds, in particular on compact quotients of unimodular Lie groups

Publisher: Elsevier Science B.V.
Year: 2002
DOI identifier: 10.1016/S0926-2245(02)00060-8
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