The stability of the three-dimensional Hopf vector field, as a harmonic section of the unit tangent bundle is viewed from a number of different angles. The spectrum of the vertical Jacobi operator is computed, and compared with that of the Jacobi operator of the identity map on the 3-sphere. The var
β¦ LIBER β¦
On the volume of a unit vector field on the three-sphere
β Scribed by Herman Gluck; Wolfgang Ziller
- Book ID
- 110596558
- Publisher
- European Mathematical Society
- Year
- 1986
- Tongue
- English
- Weight
- 639 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0010-2571
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The energy of unit vector fields on the
β
A. Higuchi; B.S. Kay; C.M. Wood
π
Article
π
2001
π
Elsevier Science
π
English
β 124 KB
A critical radius for unit Hopf vector f
β
Vincent Borrelli; Olga Gil-Medrano
π
Article
π
2006
π
Springer
π
English
β 252 KB
On the Energy of a Unit Vector Field
β
C. M. Wood
π
Article
π
1997
π
Springer
π
English
β 119 KB
The Infimum of the Energy of Unit Vector
β
Vincent Borrelli; Fabiano Brito; Olga Gil-Medrano
π
Article
π
2003
π
Springer
π
English
β 274 KB
Energy and volume of unit vector fields
β
J.C. GonzΓ‘lez-DΓ‘vila; L. Vanhecke
π
Article
π
2002
π
Elsevier Science
π
English
β 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.
About homotopy classes of non-singular v
β
Emmanuel Dufraine
π
Article
π
2002
π
SP BirkhΓ€user Verlag Basel
π
English
β 266 KB