m-quasi Einstein Metric and Paracontact Geometry

DOI10.36890/iejg.1100147zbMath1506.53034OpenAlexW4306935536MaRDI QIDQ5058096

Krishnendu De, Fatemah Y. Y. Mofarreh, Uday Chand De

Publication date: 2 December 2022

Published in: International Electronic Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36890/iejg.1100147

zbMATH Keywords

\(m\)-quasi Einstein metric\((k, \mu)\)-paracontact metric manifolds\(K\)-paracontact metric manifolds

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)

Cites Work

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• Homogeneous paracontact metric three-manifolds
• The classification of \((m, \rho)\)-quasi-Einstein manifolds
• Generalized quasi-Einstein manifolds with harmonic Weyl tensor
• Rigidity of quasi-Einstein metrics
• The nonexistence of quasi-Einstein metrics
• \(\delta\)-almost Yamabe solitons in paracontact metric manifolds
• Canonical connections on paracontact manifolds
• Comparison geometry for the Bakry-Emery Ricci tensor
• Nullity conditions in paracontact geometry
• Three-dimensional homogeneous Lorentzian Yamabe solitons
• Quasi-Einstein structures and almost cosymplectic manifolds
• QUASI-EINSTEIN CONTACT METRIC MANIFOLDS
• $\eta$-Ricci solitons on para-Kenmotsu manifolds
• Almost paracontact and parahodge structures on manifolds
• Almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in paracontact geometry

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