Geodesic
Differential geometry of quasi-Sasakian manifolds
Sbornik. Mathematics, Tome 193 (2002) no. 8, pp. 1173-1201 Cet article a éte moissonné depuis la source Math-Net.Ru

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The full system of structure equations of a quasi-Sasakian structure is obtained. The structure of the main tensors on a quasi-Sasakian manifold (the Riemann–Christoffel tensor, the Ricci tensor, and other tensors) is studied on this basis. Interesting characterizations of quasi-Sasakian Einstein manifolds are obtained. Additional symmetry properties of the Riemann–Christoffel tensor are discovered and used for distinguishing a new class of $CR_1$ quasi-Sasakian manifolds. An exhaustive description of the local structure of manifolds in this class is given. A complete classification (up to the $\mathscr B$-transformation of the metric) is obtained for manifolds in this class having additional properties of the isotropy kind. 
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     title = {Differential geometry of {quasi-Sasakian} manifolds},
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     url = {http://geodesic.mathdoc.fr/item/SM_2002_193_8_a3/}
}
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V. F. Kirichenko; A. R. Rustanov. Differential geometry of quasi-Sasakian manifolds. Sbornik. Mathematics, Tome 193 (2002) no. 8, pp. 1173-1201. http://geodesic.mathdoc.fr/item/SM_2002_193_8_a3/

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