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On the volume of unit vector fields on spaces of constant sectional curvature

✍ Scribed by FabianoB. Brito; PabloM. Chacón; A. M. Naveira


Publisher
European Mathematical Society
Year
2004
Tongue
English
Weight
230 KB
Volume
79
Category
Article
ISSN
0010-2571

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Energy and volume of unit vector fields
✍ J.C. González-Dávila; L. Vanhecke 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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.