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Almost C(λ)-manifolds

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Abstract

In this paper, we study almost C(λ)-manifolds. We obtain necessary and sufficient conditions for an almost contact metric manifold to be an almost C(λ)-manifold. We prove that contact analogs of A. Gray’s second and third curvature identities on almost C(λ)-manifolds hold, while a contact analog of A. Gray’s first identity holds if and only if the manifold is cosymplectic. It is proved that a conformally flat, almost C(λ)-manifold is a manifold of constant curvature λ.

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Authors and Affiliations

  1. Orenburg State University, Orenburg, Russia

    S. V. Kharitonova

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  1. S. V. Kharitonova
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Correspondence to S. V. Kharitonova.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 16, No. 2, pp. 139–146, 2010.

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Kharitonova, S.V. Almost C(λ)-manifolds. J Math Sci 177, 742–747 (2011). https://doi.org/10.1007/s10958-011-0504-6

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  • DOI: https://doi.org/10.1007/s10958-011-0504-6

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