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On dual geometry of distributions of hyperplane elements in a space with affine connection

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In this work, we found the condition of existence of the dual space of affine connection if the regular distribution of hyperplane elements is immersed in a space of affine connection A n,n . We consider dual affine connections induced by a regular distribution.

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Authors and Affiliations

  1. Chuvash State Pedagogical University, Cheboksary, Russia

    A. V. Khristoforova

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  1. A. V. Khristoforova
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Correspondence to A. V. Khristoforova.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 16, No. 2, pp. 147–153, 2010.

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Khristoforova, A.V. On dual geometry of distributions of hyperplane elements in a space with affine connection. J Math Sci 177, 748–752 (2011). https://doi.org/10.1007/s10958-011-0505-5

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