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On the extendability of conformal vector fields of 2-dimensional manifolds

✍ Scribed by Gianni Manno; Giorgio Metafune


Book ID
113567277
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
138 KB
Volume
30
Category
Article
ISSN
0926-2245

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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.