\(K\)-contact metrics as Ricci solitons

DOI10.1007/s13366-011-0038-6zbMath1241.53038OpenAlexW2032933621MaRDI QIDQ664192

Ramesh Sharma, Amalendu Ghosh

Publication date: 29 February 2012

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0038-6

zbMATH Keywords

Heisenberg groupSasakian manifoldEinstein manifoldRicci soliton\(K\)-contact manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (11)

Notes on contact \(\eta\)-Einstein metrics as Ricci solitons ⋮ Ricci solitons in a generalized weakly (Ricci) symmetric \(D\)-homothetically deformed Kenmotsu manifold ⋮ Unnamed Item ⋮ Unnamed Item ⋮ K-Contact and Sasakian metrics as Ricci almost solitons ⋮ Unnamed Item ⋮ Ricci solitons in Kenmotsu manifold under generalized \(D\)-conformal deformation ⋮ Certain results on Ricci solitons in \(\alpha\)-Sasakian manifolds ⋮ D-homothetically deformed Kenmotsu metric as a Ricci soliton ⋮ \(\star\)-Ricci soliton on \((\kappa,\mu)'\)-almost Kenmotsu manifolds ⋮ Certain infinitesimal transformations on contact metric manifolds

Cites Work

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• Contact metric manifolds with \(\eta \)-parallel torsion tensor
• Certain results on \(K\)-contact and \((k, \mu )\)-contact manifolds
• Remarks on a triple of \(K\)-contact structures
• Contact metric manifolds satisfying a nullity condition
• A note of Sasakian metrics with constant scalar curvature
• SASAKIAN 3-MANIFOLD AS A RICCI SOLITON REPRESENTS THE HEISENBERG GROUP
• Riemannian geometry of contact and symplectic manifolds

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