6533b830fe1ef96bd12971ee
RESEARCH PRODUCT
Volume, energy and generalized energy of unit vector fields on Berger spheres: stability of Hopf vector fields
Ana HurtadoOlga Gil-medranosubject
Curl (mathematics)Vector calculus identitiesSolenoidal vector fieldUnit vectorGeneral MathematicsMathematical analysisFundamental vector fieldVector fieldComplex lamellar vector fieldMathematicsVector potentialdescription
We study to what extent the known results concerning the behaviour of Hopf vector fields, with respect to volume, energy and generalized energy functionals, on the round sphere are still valid for the metrics obtained by performing the canonical variation of the Hopf fibration.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-08-01 | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |