Geodesic
Dual affine connections on a~quadratic hyperband distribution in a~projective-metric space and their applications
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2009), pp. 73-77.

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In this paper, we develop fundamental of the dual theory of quadric hyperbandal distribution $H$ of $m$-dimensional line elements in a projective metric space $K_n$ ($m$). 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 $H$.
Keywords: projective metric space, hyper-band distribution, affine connection, web. 
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E. N. Smirnova. Dual affine connections on a~quadratic hyperband distribution in a~projective-metric space and their applications. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2009), pp. 73-77. http://geodesic.mathdoc.fr/item/IVM_2009_5_a8/

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