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Dual affine connections on a quadratic hyperband distribution in a projective-metric space and their applications

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Abstract

In this paper, we develop fundamentals of the dual theory of quadratic hyperband distributions H of m-dimensional line elements in a projective-metric space K n (m < n − 1). In particular, we show that, on a dual normalized distribution H, there are induced two dual affine connections and indicate some applications of these connections to the geometry of m-webs on H.

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Authors and Affiliations

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

    E. N. Smirnova

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  1. E. N. Smirnova
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Correspondence to E. N. Smirnova.

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Original Russian Text © E.N. Smirnova, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 5, pp. 73–77.

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Smirnova, E.N. Dual affine connections on a quadratic hyperband distribution in a projective-metric space and their applications. Russ Math. 53, 63–66 (2009). https://doi.org/10.3103/S1066369X09050090

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  • DOI: https://doi.org/10.3103/S1066369X09050090

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