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Vector fields onn-foliated 2n-dimensional manifolds

✍ Scribed by A. A. Agrachev; R. V. Gamkrelidze


Publisher
Springer US
Year
2006
Tongue
English
Weight
240 KB
Volume
135
Category
Article
ISSN
1573-8795

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Energy and volume of unit vector fields
✍ J.C. GonzΓ‘lez-DΓ‘vila; L. Vanhecke πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 171 KB

We 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.