On $(N(k),\xi)$-semi-Riemannian manifolds: Pseudosymmetries

zbMath1308.53070arXiv1202.6458MaRDI QIDQ5178303

Punam Gupta, Mukut Mani Tripathi

Publication date: 13 March 2015

Full work available at URL: https://arxiv.org/abs/1202.6458

zbMATH Keywords

Sasakian manifoldEinstein manifoldprojective curvature tensorKenmotsu manifoldconharmonic curvature tensor\(N(k)\)-contact metric manifoldconcircular curvature tensorquasi-conformal curvature tensor\(\eta\)-Einstein manifoldpara-Sasakian manifoldconformal curvature tensor\((\varepsilon)\)-Sasakian manifoldpseudo-projective curvature tensor\(\mathcal{M}\)-projective curvature tensor\(\mathcal{T}\)-curvature tensor\((\varepsilon)\)-para-Sasakian manifold\(\mathcal{W}_i\)-curvature tensors \((i = 0, \ldots, 9)\)\((\mathcal{T}_a,\mathcal{T}_b,S^\ell)\)-pseudosymmetric semi-Riemannian manifold\((\mathcal{T}_a,\mathcal{T}_b)\)-pseudosymmetric semi-Riemannian manifold\((\mathcal{T}_a,S_{\mathcal{T}_b})\)-pseudosymmetric semi-Riemannian manifold and \((\mathcal{T}_a,S_{\mathcal{T}_b} , S^\ell)\)-pseudosymmetric semi-Riemannian manifold.\((N(k),\xi)\)-semi-Riemannian manifolds\(\mathcal{W}^*_j\)-curvature tensors \((j = 0, 1)\)

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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