Geodesic
On the Geometry of Locally Conformally Almost Cosymplectic Manifolds
Matematičeskie zametki, Tome 86 (2009) no. 1, pp. 126-138

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We obtain the complete group of structure equations of a locally conformally almost cosymplectic structure (an $lc\mathscr{AC_S}$-structure in what follows) and compute the components of the Riemannian curvature tensor on the space of the associated $G$-structure. Normal $lc\mathscr{AC_S}$-structures are studied in more detail. In particular, we prove that the contact analogs of A. Gray's second and third curvature identities hold on normal $lc\mathscr{AC_S}$-manifolds, while the contact analog of A. Gray's first identity holds if and only if the manifold is cosymplectic.
Keywords: locally conformally almost cosymplectic structure, almost contact manifold, Riemann curvature tensor, Gray's identities.
Mots-clés : $G$-structure, conformal transformation, structure equations 
@article{MZM_2009_86_1_a9,
     author = {S. V. Kharitonova},
     title = {On the {Geometry} of {Locally} {Conformally} {Almost} {Cosymplectic} {Manifolds}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {126--138},
     publisher = {mathdoc},
     volume = {86},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_86_1_a9/}
}
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S. V. Kharitonova. On the Geometry of Locally Conformally Almost Cosymplectic Manifolds. Matematičeskie zametki, Tome 86 (2009) no. 1, pp. 126-138. http://geodesic.mathdoc.fr/item/MZM_2009_86_1_a9/