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On geometry of weakly cosymplectic manifolds

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We consider classes of weakly cosymplectic manifolds whose Riemannian curvature tensors satisfy contact analogs of the Riemannian–Christoffel identities. Additional properties of the Riemannian curvature tensor symmetry are found and a classification of weakly cosymplectic manifolds is obtained.

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Authors and Affiliations

  1. Moscow Pedagogical State University, Moscow, Russia

    V. F. Kirichenko & E. V. Kusova

Authors
  1. V. F. Kirichenko
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  2. E. V. Kusova
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Correspondence to V. F. Kirichenko.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 16, No. 2, pp. 33–42, 2010.

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Kirichenko, V.F., Kusova, E.V. On geometry of weakly cosymplectic manifolds. J Math Sci 177, 668–674 (2011). https://doi.org/10.1007/s10958-011-0494-4

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