Geodesic
Hyperband distributions of affine spaces
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Tome 203 (2021), pp. 84-99

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We consider a special class of hyperband distributions, $\mathfrak{H}(L)$-distributions, with the incidence relation $A\in L(A)\subset H(A)$. The theory of $\mathfrak{H}(L)$-distributions is used for studying torso surfaces, regular one-dimensional hyperbands, special classes of hyperbands, and hypersurfaces of an affine space.
Keywords: hyperband distribution, focal point, normalization, Norden normalization, normal connection, affine connection, touching hyperquadrics.
Mots-clés : affine space, tangent connection 
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     author = {Yu. I. Popov},
     title = {Hyperband distributions of affine spaces},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {84--99},
     publisher = {mathdoc},
     volume = {203},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_203_a7/}
}
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Yu. I. Popov. Hyperband distributions of affine spaces. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry, Tome 203 (2021), pp. 84-99. http://geodesic.mathdoc.fr/item/INTO_2021_203_a7/