Volume, energy and generalized energy of unit vector fields on Berger spheres: stability of Hopf vector fields

DOI10.1017/S0308210500004121zbMath1122.53037MaRDI QIDQ5714563

Olga Gil-Medrano, Ana Hurtado

Publication date: 3 January 2006

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Berger spheresHopf vector fieldsunit vector fields

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometric aspects of harmonic maps (53C43)

Related Items (9)

Instability of Hopf vector fields on Lorentzian Berger spheres ⋮ Gauss maps of harmonic and minimal great circle fibrations ⋮ Harmonicity properties of invariant vector fields on three-dimensional Lorentzian Lie groups ⋮ Harmonicity of vector fields on four-dimensional generalized symmetric spaces ⋮ Stability numbers in K-contact manifolds ⋮ Unit vector fields of minimum energy on quotients of spheres and stability of the Reeb vector field ⋮ Area-minimizing vector fields on round 2-spheres ⋮ Spacelike energy of timelike unit vector fields on a Lorentzian manifold ⋮ Stability of unit Hopf vector fields on quotients of spheres

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