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Integrability of canonic affinor structures of homogeneous periodic Φ-spaces

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Abstract

We study connections between the Lie bracket on the tangent space of a homogeneous periodic Φ-space and the operators of canonical affinor structures of this space. The relations obtained allowed us to single out several cases of integrability of the structures under consideration.

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Correspondence to Yu. D. Churbanov.

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Original Russian Text © Yu.D. Churbanov, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 8, pp. 43–57.

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Churbanov, Y.D. Integrability of canonic affinor structures of homogeneous periodic Φ-spaces. Russ Math. 52, 35–47 (2008). https://doi.org/10.3103/S1066369X08080057

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