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Two-dimensional unit-length vector fields of vanishing divergence

✍ Scribed by Radu Ignat

Book ID
113710243
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
305 KB
Volume
262
Category
Article
ISSN
0022-1236

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πŸ“œ SIMILAR VOLUMES

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