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

zbMath1308.53069arXiv1202.6138MaRDI QIDQ5178283

Mukut Mani Tripathi, Punam Gupta

Publication date: 13 March 2015

Full work available at URL: https://arxiv.org/abs/1202.6138

zbMATH Keywords

Sasakian manifoldEinstein manifoldprojective curvature tensorKenmotsu manifoldconharmonic curvature tensor\(N(k)\)-contact metric manifoldquasi-conformal curvature tensor\(\eta\)-Einstein manifoldpara-Sasakian manifoldconformal curvature tensor\((\varepsilon)\)-Sasakian manifoldpseudo-projective curvature tensor\(\mathcal{M}\)-projective curvature tensorcon-circular curvature tensor\(\mathcal{T}\)-curvature tensor\((\mathcal{T}_a,\mathcal{T}_b)\)-semisymmetric semi-Riemannian mani-fold\((\mathcal{T}_a,S_{\mathcal{T}_b})\)-semisymmetric semi-Riemannian manifold and \(\xi-\mathcal{T}_a\)-flat \((N(k), \xi)\)-semi-Riemannian manifold\((\varepsilon)\)-para-Sasakian manifold\((N(k), \xi)\)-semi-Riemannian manifold\((N(k), \xi)\)-semi-Riemannian manifolds\(\mathcal{W}_i\)-curvature tensors \((i = 0, \ldots, 9)\)\(\mathcal{W}_j\)-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)

Related Items (3)

A note on \(\alpha\)-cosymplectic manifolds with respect to the Schouten-van Kampen connection ⋮ A Study on $\phi$-Symmetric $\tau$-curvature tensor in $N(k)$-contact metric manifold ⋮ A study on \(\phi\)-recurrence \(\tau\)-curvature tensor in \((k,{\mu})\)-contact metric manifolds

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