Holomorphically planar conformal vector fields on contact metric manifolds

DOI10.1007/S10474-010-0030-XzbMath1240.53057OpenAlexW2066425355MaRDI QIDQ626045

Amalendu Ghosh

Publication date: 25 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-0030-x

zbMATH Keywords

contact metric manifoldclosed conformal vector fieldholomorphically planar conformal vector field (HPCV)

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Invariant vector fields on contact metric manifolds under \(\mathcal{D}\)-homothetic deformation ⋮ Conformal vector fields and conformal Ricci solitons on \(\alpha\)-Kenmotsu manifolds ⋮ Almost Kenmotsu manifolds admitting certain vector fields ⋮ Some results on cosymplectic manifolds admitting certain vector fields

Cites Work

• Unnamed Item
• \(\eta\)-parallel contact metric spaces
• Contact metric manifolds with \(\eta \)-parallel torsion tensor
• Certain results on \(K\)-contact and \((k, \mu )\)-contact manifolds
• Contact metric manifolds satisfying a nullity condition
• Almost Hermitian manifolds admitting holomorphically planar conformal vector fields
• Einstein manifolds and contact geometry
• Riemannian geometry of contact and symplectic manifolds

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