Contact metric manifolds with \(\eta \)-parallel torsion tensor

DOI10.1007/s10455-008-9112-1zbMath1167.53031OpenAlexW1989254530WikidataQ126123986 ScholiaQ126123986MaRDI QIDQ1014881

Ramesh Sharma, Jong Taek Cho, Amalendu Ghosh

Publication date: 29 April 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-008-9112-1

zbMATH Keywords

Sasakian manifoldtangent sphere bundleRicci soliton\((k, \mu )\)-contact manifold\(\eta \)-parallel torsion tensor

Mathematics Subject Classification ID

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

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Cites Work

• \(\eta\)-parallel contact metric spaces
• Generalization of Myers' theorem on a contact manifold
• Certain results on \(K\)-contact and \((k, \mu )\)-contact manifolds
• A full classification of contact metric \((k,\mu)\)-spaces
• The standard CR structure on the unit tangent bundle
• Contact metric manifolds satisfying a nullity condition
• On the Geometry of the Tangent Bundle.
• Variational Problems on Contact Riemannian Manifolds
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
• Riemannian geometry of contact and symplectic manifolds
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