CERTAIN RESULTS ON THREE-DIMENSIONAL CONTACT METRIC MANIFOLDS

DOI10.1142/S1793557110000453zbMath1219.53031MaRDI QIDQ3067247

Amalendu Ghosh

Publication date: 20 January 2011

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(*\)-Ricci tensorcyclic \(\eta \)-parallel \(\tau \)generalized \((\kappa , \mu )\)-spaces

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)

Related Items (2)

Almost \(\ast\)-Ricci soliton on paraKenmotsu manifolds ⋮ Harmonic characteristic vector fields on contact metric three-manifolds

Cites Work

• \(\eta\)-parallel contact metric spaces
• Riemannian submersions and Riemannian manifolds with Einstein-Weyl structures
• Contact metric manifolds with \(\eta \)-parallel torsion tensor
• On 3-dimensional contact metric manifolds with \(\nabla_\xi\tau=0\)
• Some results on contact metric manifolds
• Generalized \((\kappa, \mu)\)-contact metric manifolds with \(\| \operatorname{grad} \kappa\| = \) constant
• Contact metric manifolds whose characteristic vector field is a harmonic vector field
• On a class of contact Riemannian 3-manifolds
• Contact metric manifolds satisfying a nullity condition
• Homogeneity on three-dimensional contact metric manifolds
• Harmonic characteristic vector fields on contact metric three-manifolds
• On the Existence of a New Class of Contact Metric Manifolds
• Conformally flat contact metric manifolds

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