Ricci solitons on Ricci pseudosymmetric $(LCS)_n$-manifolds

DOI10.5831/HMJ.2018.40.2.325zbMath1395.53027arXiv1707.03618MaRDI QIDQ4577909

Shyamal Kumar Hui, Richard S. Lemence, Debabrata Chakraborty

Publication date: 3 August 2018

Full work available at URL: https://arxiv.org/abs/1707.03618

zbMATH Keywords

projective curvature tensorRicci solitonconharmonic curvature tensorconcircular curvature tensorconformal curvature tensor\(W_3\)-curvature tensorRicci pseudosymmetric manifold\((\mathrm{LCS})_n\)-manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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Cites Work

• On invariant submanifolds of (LCS)\(_{n}\)-manifolds
• Some transformations on \((LCS)_{n}\)-manifolds
• On geometry of submanifolds of (LCS)\(_n\)-manifolds
• On the parallel transport of the Ricci curvatures
• Certain results on \(K\)-contact and \((k, \mu )\)-contact manifolds
• Three-manifolds with positive Ricci curvature
• Certain results on Ricci solitons in \(\alpha\)-Sasakian manifolds
• SECOND ORDER PARALLEL TENSORS AND RICCI SOLITONS ON (LCS)_n-MANIFOLDS
• Ricci almost solitons on Concircular Ricci pseudosymmetric beta-Kenmotsu manifolds
• ON RICCI-PSEUDO-SYMMETRIC WARPED PRODUCTS
• SOME RESULTS ON (LCS)_n-MANIFOLDS
• Ricci solitons in manifolds with quasi-constant curvature
• Slant and pseudo-slant submanifolds in LCS-manifolds
• On φ-pseudo Symmetries of (LCS)_n-Manifolds
• Concircular geometry I. Concircular transformations
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