QUASI-EINSTEIN CONTACT METRIC MANIFOLDS

DOI10.1017/S0017089514000494zbMath1323.53045OpenAlexW2159332041MaRDI QIDQ2942597

Amalendu Ghosh

Publication date: 11 September 2015

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089514000494

zbMATH Keywords

rigidity\((\kappa, \mu)\)-spaces\(K\)-contact manifold

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 (11)

m-quasi Einstein Metric and Paracontact Geometry ⋮ A study of conformal almost Ricci solitons on Kenmotsu manifolds ⋮ Unnamed Item ⋮ The \(k\)-almost Yamabe solitons and contact metric manifolds ⋮ Quasi-Einstein hypersurfaces of complex space forms ⋮ \((m,\rho)\)-quasi-Einstein metrics in the frame-work of \(K\)-contact manifolds ⋮ Unnamed Item ⋮ Gradient \(\rho \)-Einstein soliton on almost Kenmotsu manifolds ⋮ On non-gradient \((m,\rho )\)-quasi-Einstein contact metric manifolds ⋮ Quasi-Einstein structures and almost cosymplectic manifolds ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Rigidity of quasi-Einstein metrics
• The nonexistence of quasi-Einstein metrics
• 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
• Rigidity of gradient Ricci solitons
• Einstein manifolds and contact geometry
• CONTACT GEOMETRY AND RICCI SOLITONS
• Compact Einstein warped product spaces with nonpositive scalar curvature
• RICCI SOLITONS AND CONTACT METRIC MANIFOLDS

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