𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Second variation of volume and energy of vector fields. Stability of Hopf vector fields

✍ Scribed by Olga Gil-Medrano; Elisa Llinares-Fuster


Publisher
Springer
Year
2001
Tongue
English
Weight
126 KB
Volume
320
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Relationship between volume and energy o
✍ Olga Gil-Medrano πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 127 KB

A unified study of energy and volume functionals is presented here by determining the critical points of a functional that extends simultaneously energy and volume and that is defined on the product of the manifold of smooth maps C ∞ (M, N ) times the manifold M of riemannian metrics on M. The restr

The hopf algebra of vector fields on com
✍ Bernhard Drabant; Branislav Jurčo; Michael Schlieker; Wolfgang Weich; Bruno Zumi πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 200 KB

We derive the equivalence of the complex quantum enveloping algebra and the algebra of complex quantum vector fields for the Lie algebra types A., B., C n, and D. by factorizing the vector fields uniquely into a triangular and a unitary part and identifying them with the corresponding elements of th

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.