Instability of Hopf vector fields on Lorentzian Berger spheres

DOI10.1007/s11856-010-0039-4zbMath1204.53049arXiv0803.2487OpenAlexW2038506423MaRDI QIDQ611020

Ana Hurtado

Publication date: 13 December 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2487

zbMATH Keywords

volumeenergyRiemannian manifoldHessians

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43)

Related Items (3)

Harmonic vector fields on compact Lorentz surfaces ⋮ Stability numbers in K-contact manifolds ⋮ Unnamed Item

Cites Work

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• Spacelike energy of timelike unit vector fields on a Lorentzian manifold
• On the volume of a unit vector field on the three-sphere
• Laplacians and Riemannian submersions with totally geodesic fibres
• Relationship between volume and energy of vector fields.
• Total bending of flows with mean curvature correction
• Minimal unit vector fields
• Total bending of vector fields on Riemannian manifolds
• The energy of Hopf vector fields
• A critical radius for unit Hopf vector fields on spheres
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• On the biharmonic and harmonic indices of the Hopf map
• Volume, energy and generalized energy of unit vector fields on Berger spheres: stability of Hopf vector fields
• On the energy of a unit vector field
• Second variation of volume and energy of vector fields. Stability of Hopf vector fields

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