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On integrability of an almost complex structure on a strictly nearly Kähler 6-manifold

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Abstract

We prove that an almost complex structure positively associated with a Kähler 2-form in a strictly nearly Kähler 6-manifold is not integrable.

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Authors and Affiliations

  1. Kemerovo State University, Kemerovo, Russia

    N. A. Daurtseva

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  1. N. A. Daurtseva
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Correspondence to N. A. Daurtseva.

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Original Russian Text Copyright © 2014 Daurtseva N.A.

The author was supported by the Russian Foundation for Basic Research (Grant 12-01-00873-a) and the State Maintenance Program for the Leading Scientific Schools (Grant NSh-544.2012.1).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 1, pp. 61–65, January–February, 2014.

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Daurtseva, N.A. On integrability of an almost complex structure on a strictly nearly Kähler 6-manifold. Sib Math J 55, 49–52 (2014). https://doi.org/10.1134/S0037446614010066

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  • DOI: https://doi.org/10.1134/S0037446614010066

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