On generalized recurrent Riemannian manifolds

DOI10.1007/s10474-008-8049-yzbMath1199.53166OpenAlexW2007056324WikidataQ115384335 ScholiaQ115384335MaRDI QIDQ1046869

Kadri Arslan, Cengizhan Murathan, Ahmet Yildiz, Uday Chand De

Publication date: 29 December 2009

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-008-8049-y

zbMATH Keywords

quasi-Einstein manifoldRicci-semisymmetrygeneralized recurrent manifoldconcirculary recurrent manifold

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)

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Cites Work

• Generalized recurrent and concircular recurrent manifolds
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• On the equivalence of Ricci-semisymmetry and semisymmetry
• Concircular geometry I. Concircular transformations
• On Ruse's Spaces of Recurrent Curvature
• Some Theorems on Ricci-Recurrent Spaces
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