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Almost contact Kähler manifolds of constant holomorphic sectional curvature

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Abstract

We introduce the notion of an almost contact Kähler structure. We also define the holomorphic sectional curvature of the distribution of an almost contact Kähler structure with respect to an interior metric connection and establish relations between the φ-sectional curvature of an almost contact Kähler manifold and the holomorphic sectional curvature of the distribution of an almost contact Kähler structure.

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Authors and Affiliations

  1. Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia

    S. V. Galaev

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  1. S. V. Galaev
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Correspondence to S. V. Galaev.

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Original Russian Text © S.V. Galaev, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 8, pp. 42–52.

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Galaev, S.V. Almost contact Kähler manifolds of constant holomorphic sectional curvature. Russ Math. 58, 35–42 (2014). https://doi.org/10.3103/S1066369X14080040

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  • DOI: https://doi.org/10.3103/S1066369X14080040

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