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Volume and energy of Reeb vector fields

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Publication:421867
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zbMath1241.53065MaRDI QIDQ421867

Philippe Rukimbira

Publication date: 15 May 2012

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.adjm/1270067492


zbMATH Keywords

volumeEinsteinenergy functionalK-contact


Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)




Cites Work

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  • On the volume of a unit vector field on the three-sphere
  • On contact metric manifolds
  • Some remarks on \(R\)-contact flows
  • Relationship between volume and energy of vector fields.
  • Total bending of flows with mean curvature correction
  • Criticality of K-contact vector fields
  • Minimal unit vector fields
  • Vectorial sectional curvature and K-contactness
  • Harmonic maps on contact metric manifolds
  • Total bending of vector fields on the sphere \(S^ 3\)
  • On the Geometry of the Tangent Bundle.
  • Volumes of Flows
  • On the energy of a unit vector field
  • Riemannian geometry of contact and symplectic manifolds


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