Spacelike energy of timelike unit vector fields on a Lorentzian manifold

DOI10.1016/j.geomphys.2003.09.008zbMath1076.53086OpenAlexW1985307768MaRDI QIDQ557230

Olga Gil-Medrano, Ana Hurtado

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2003.09.008

zbMATH Keywords

energysecond variationEinstein manifoldsfirst variationSasakian manifoldsLorentzian Berger spherespacelike energy

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) 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 (16)

Some geometrical properties of the Oscillator group ⋮ Biharmonic vector fields on pseudo-Riemannian manifolds ⋮ Harmonicity of vector fields on a class of Lorentzian solvable Lie groups ⋮ Instability of Hopf vector fields on Lorentzian Berger spheres ⋮ \(H\)-contact semi-Riemannian manifolds ⋮ Harmonicity properties of invariant vector fields on three-dimensional Lorentzian Lie groups ⋮ Harmonicity of vector fields on four-dimensional generalized symmetric spaces ⋮ TOPOLOGICALLY MASSIVE ABELIAN GAUGE THEORY ⋮ Harmonic vector fields on compact Lorentz surfaces ⋮ Some geometrical properties of Berger Spheres ⋮ Pseudoharmonic maps and vector fields on \(CR\) manifolds ⋮ On the geometrical properties of hypercomplex four-dimensional Lorentzian Lie groups ⋮ Contact pseudo-metric manifolds ⋮ On the geometry of tangent hyperquadric bundles: CR and pseudoharmonic vector fields ⋮ On the geometrical properties of Heisenberg groups ⋮ Contact semi-Riemannian structures in CR geometry: some aspects

Cites Work

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• A critical radius for unit Hopf vector fields on spheres
• Sasakian manifold with pseudo-Riemannian metric
• On the energy of unit vector fields with isolated singularities
• Volume, energy and generalized energy of unit vector fields on Berger spheres: stability of Hopf vector fields
• Riemannian geometry of contact and symplectic manifolds
• Second variation of volume and energy of vector fields. Stability of Hopf vector fields

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