Generalized \(m\)-quasi-Einstein manifolds admitting a closed conformal vector field

DOI10.1007/s10231-023-01335-wzbMath1526.53047OpenAlexW4367041843MaRDI QIDQ6046837

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Publication date: 6 October 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-023-01335-w

zbMATH Keywords

warped productsBach tensorCotton tensorgeneralized \(m\)-quasi-Einstein manifoldclosed conformal vector fields

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local Riemannian geometry (53B20)

Cites Work

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• On the classification of warped product Einstein metrics
• On Bach flat warped product Einstein manifolds
• The geometry of closed conformal vector fields on Riemannian spaces
• Generalized quasi-Einstein manifolds with harmonic Weyl tensor
• Geometry of conformal vector fields
• Rigidity of quasi-Einstein metrics
• Lagrangian submanifolds of \(C^n\) with conformal Maslov form and the Whitney sphere
• Closed conformal vector fields and Lagrangian submanifolds in complex space forms.
• Gradient Ricci solitons admitting a closed conformal vector field
• Closed conformal vector fields
• Special conformally flat spaces and canal hypersurfaces
• INTEGRAL FORMULAE ON QUASI-EINSTEIN MANIFOLDS AND APPLICATIONS
• Ricci almost solitons
• SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONS
• Recent Progress on Ricci Solitons
• Rigidity of (m,ρ)-quasi Einstein manifolds
• Complete Riemannian Manifolds and Some Vector Fields

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