On properties of the Reeb vector field of $(\alpha,\beta)$ trans-Sasakian structure

DOI10.55730/1300-0098.3271zbMath1503.53101OpenAlexW4285263547MaRDI QIDQ5102100

Alexander Yampolsky

Publication date: 6 September 2022

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

Full work available at URL: https://doi.org/10.55730/1300-0098.3271

zbMATH Keywords

harmonic mapReeb vector fieldtrans-Sasakian manifoldharmonic vector fieldminimal vector fieldtotally geodesic unit vector fieldmean curvature of vector field

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Cites Work

• A note on compact trans-Sasakian manifolds
• Harmonic almost contact structures
• On the volume of a unit vector field on the three-sphere
• The local structure of trans-Sasakian manifolds
• Contact manifolds in Riemannian geometry
• Relationship between volume and energy of vector fields.
• Examples of minimal unit vector fields
• Minimal and harmonic characteristic vector fields on three-dimensional contact metric manifolds
• Minimal unit vector fields
• Total bending of vector fields on Riemannian manifolds
• A totally geodesic property of Hopf vector fields
• A class of almost contact Riemannian manifolds
• Invariant minimal unit vector fields on Lie groups
• Minimality and harmonicity for Hopf vector fields
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