RICCI SOLITONS AND CONTACT METRIC MANIFOLDS

DOI10.1017/S0017089512000389zbMath1258.53045OpenAlexW2118650324MaRDI QIDQ4899933

Amalendu Ghosh

Publication date: 10 January 2013

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

Full work available at URL: https://doi.org/10.1017/s0017089512000389

zbMATH Keywords

expandingEinstein metricRicci solitonsteadyshrinking

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 (10)

Para-Kenmotsu metric as a $\eta$-Ricci soliton ⋮ Ricci solitons on almost Kenmotsu 3-manifolds ⋮ QUASI-EINSTEIN CONTACT METRIC MANIFOLDS ⋮ Realizations of some contact metric manifolds as Ricci soliton real hypersurfaces ⋮ Certain contact metrics as Ricci almost solitons ⋮ \(\star\)-Ricci soliton on \((\kappa,\mu)'\)-almost Kenmotsu manifolds ⋮ Unnamed Item ⋮ A generalization of the Goldberg conjecture for coKähler manifolds ⋮ Three dimensional contact metric manifolds with Cotton solitons ⋮ Almost \(\ast\)-\(\eta\)-Ricci solitons on Kenmotsu pseudo-Riemannian manifolds

Cites Work

• A complete proof of the Poincaré and geometrization conjectures -- application of the Hamilton-Perelman theory of the Ricci flow
• Contact metric manifolds with \(\eta \)-parallel torsion tensor
• Certain results on \(K\)-contact and \((k, \mu )\)-contact manifolds
• When is the tangent sphere bundle conformally flat?
• Contact metric manifolds satisfying a nullity condition
• Einstein manifolds and contact geometry
• CONTACT GEOMETRY AND RICCI SOLITONS
• Notes on contact Ricci solitons
• SASAKIAN 3-MANIFOLD AS A RICCI SOLITON REPRESENTS THE HEISENBERG GROUP
• Locally symmetric $K$-contact Riemannian manifolds
• Conformally flat contact metric manifolds

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