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. 
@article{IVM_2009_5_a8,
     author = {E. N. Smirnova},
     title = {Dual affine connections on a~quadratic hyperband distribution in a~projective-metric space and their applications},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {73--77},
     publisher = {mathdoc},
     number = {5},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_5_a8/}
}
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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/