Stability numbers in K-contact manifolds

DOI10.1016/J.DIFGEO.2008.03.001zbMath1149.53037OpenAlexW2158678745WikidataQ115357571 ScholiaQ115357571MaRDI QIDQ930060

Ana Hurtado

Publication date: 19 June 2008

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.03.001

zbMATH Keywords

volumeenergyBerger spheresHopf vector fieldscharacteristic vector fieldK-contact manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (2)

A note on contact metric manifolds ⋮ Stability of unit Hopf vector fields on quotients of spheres

Cites Work

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• Instability of Hopf vector fields on Lorentzian Berger spheres
• On the volume of a unit vector field on the three-sphere
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• 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
• Sasakian manifold with pseudo-Riemannian metric
• 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
• 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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