Applications of a special generalized quasi-Einstein manifold

DOI10.1007/s41980-018-0121-yzbMath1410.53019OpenAlexW2789854934WikidataQ129547057 ScholiaQ129547057MaRDI QIDQ1734186

Bahar Kırık, Füsun Özen Zengın

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0121-y

zbMATH Keywords

vector fieldholonomygeneralized quasi-Einstein manifoldpseudo Ricci symmetric manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Issues of holonomy in differential geometry (53C29) Local Riemannian geometry (53B20)

Related Items

\(\varphi(\mathrm{Ric})\)-vector fields on warped product manifolds and applications ⋮ Unnamed Item

Cites Work

• Rigidity of quasi-Einstein metrics
• Projective structure in 4-dimensional manifolds with metric signature \((+,+,-,-)\)
• The geometry of 4-dimensional, Ricci-flat manifolds which admit a metric
• Projective structure in 4-dimensional manifolds with positive definite metrics
• The holonomy Lie algebras of neutral metrics in dimension four
• On pseudosymmetric manifolds
• Classification of Four-Dimensional Riemannian Spaces
• ON RICCI-PSEUDO-SYMMETRIC WARPED PRODUCTS
• Holonomy groups and spacetimes
• On Ruse's Spaces of Recurrent Curvature
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