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Linear connections of a framed distribution of hyperplane elements in conformal space

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Abstract

We study the geometry of affine and normal connections induced by a complete normalization of mutually orthogonal distributions \( \mathcal{M} \) and \( \mathcal{H} \) in conformal space C n , where \( \mathcal{M} \) is a distribution of hyperplane elements, and \( \mathcal{H} \) is a distribution of line elements. We consider invariant fields of pencils that are parallel with respect to the normal connection \( \mathop {\nabla ^ \bot }\limits^0 \) along any curve belonging to the distribution \( \mathcal{M} \).

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Authors and Affiliations

  1. Chuvash State Pedagogical University, ul. K. Marksa 38, Cheboksary, 428000, Russia

    A. M. Matveeva

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  1. A. M. Matveeva
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Correspondence to A. M. Matveeva.

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Original Russian Text © A.M. Matveeva, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 7, pp. 79–84.

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Matveeva, A.M. Linear connections of a framed distribution of hyperplane elements in conformal space. Russ Math. 52, 66–70 (2008). https://doi.org/10.3103/S1066369X08070098

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  • DOI: https://doi.org/10.3103/S1066369X08070098

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