\((m,\rho)\)-quasi-Einstein metrics in the frame-work of \(K\)-contact manifolds

DOI10.1007/s11040-014-9161-6zbMath1309.53031OpenAlexW2007706215WikidataQ125361616 ScholiaQ125361616MaRDI QIDQ2254839

Amalendu Ghosh

Publication date: 6 February 2015

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-014-9161-6

zbMATH Keywords

contact metric manifold\((m,\rho)\)-quasi-Einstein metric\(K\)-contact manifoldgeneralized quasi-Einstein metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) 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 (10)

Generalized quasi-Einstein manifolds with harmonic anti-self dual Weyl tensor ⋮ The curvature estimate of gradient \(\rho\) Einstein soliton ⋮ Generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds ⋮ A note on gradient solitons on two classes of almost Kenmotsu manifolds ⋮ On a class of gradient almost Ricci solitons ⋮ Gradient \(\rho \)-Einstein soliton on almost Kenmotsu manifolds ⋮ On non-gradient \((m,\rho )\)-quasi-Einstein contact metric manifolds ⋮ \(m\)-quasi-Einstein metric and contact geometry ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Generalized quasi-Einstein manifolds with harmonic Weyl tensor
• Certain contact metrics as Ricci almost solitons
• Rigidity of quasi-Einstein metrics
• Characterizations and integral formulae for generalized \(m\)-quasi-Einstein metrics
• Gradient Einstein solitons
• Certain results on \(K\)-contact and \((k, \mu )\)-contact manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Connections between differential geometry and topology. I. Simply connected surfaces
• Einstein manifolds and contact geometry
• Some characterizations for compact almost Ricci solitons
• QUASI-EINSTEIN CONTACT METRIC MANIFOLDS
• Ricci almost solitons
• Riemannian geometry of contact and symplectic manifolds

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