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Convergence of the Newton method and uniqueness of zeros of vector fields on Riemannian manifolds

✍ Scribed by Chong Li; Jinhua Wang


Book ID
111785005
Publisher
SP Science China Press
Year
2005
Tongue
English
Weight
202 KB
Volume
48
Category
Article
ISSN
1674-7283

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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.