Notes on contact \(\eta\)-Einstein metrics as Ricci solitons

DOI10.1007/S13366-012-0111-9zbMath1279.53042OpenAlexW1982127583MaRDI QIDQ375926

Amalendu Ghosh

Publication date: 1 November 2013

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

Full work available at URL: https://doi.org/10.1007/s13366-012-0111-9

zbMATH Keywords

Ricci solitongradient Ricci soliton\(\eta\)-Einsteincontact metric 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 (3)

K-Contact and Sasakian metrics as Ricci almost solitons ⋮ Ricci almost solitons and contact geometry ⋮ Certain infinitesimal transformations on contact metric manifolds

Cites Work

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• \(K\)-contact metrics as Ricci solitons
• A classification of 3-dimensional contact metric manifolds with \(Q\phi=\phi Q\)
• Contact metric manifolds with \(\eta \)-parallel torsion tensor
• Certain results on \(K\)-contact and \((k, \mu )\)-contact manifolds
• On a class of contact Riemannian 3-manifolds
• Contact metric manifolds satisfying a nullity condition
• Einstein manifolds and contact geometry
• CONTACT GEOMETRY AND RICCI SOLITONS
• SASAKIAN 3-MANIFOLD AS A RICCI SOLITON REPRESENTS THE HEISENBERG GROUP
• Three-dimensional Ricci solitons which project to surfaces
• Riemannian geometry of contact and symplectic manifolds

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