Minimal and harmonic characteristic vector fields on three-dimensional contact metric manifolds

✍ Scribed by J. C. González-Dávila; L. Vanhecke

Publisher: Springer
Year: 2001
Tongue: English
Weight: 116 KB
Volume: 72
Category: Article
ISSN: 0047-2468
DOI: 10.1007/s00022-001-8570-4

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Energy and volume of unit vector fields

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✍ 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.