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
Voir la notice de l'article provenant de la source Math-Net.Ru
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/}
}
TY - JOUR AU - E. N. Smirnova TI - Dual affine connections on a~quadratic hyperband distribution in a~projective-metric space and their applications JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2009 SP - 73 EP - 77 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2009_5_a8/ LA - ru ID - IVM_2009_5_a8 ER -
%0 Journal Article %A E. N. Smirnova %T Dual affine connections on a~quadratic hyperband distribution in a~projective-metric space and their applications %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2009 %P 73-77 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2009_5_a8/ %G ru %F IVM_2009_5_a8
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/