Distributions of $m$-dimensional line elements in a~space with projective connection.~II
Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 3 (1971), pp. 95-114
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This paper is a continuation of the paper by G. F. Laptev and N. M. Ostianu [2]. The study of distribution is continued, but the attention is paid mainly to constructions depending only on so called fundamental subobject of the distribution. In § 1 is proved that the sequence of fundamental objects admits a sequence of subobjects (fundamental subobjects). In § 2–4 objects are constructed which determine fields of invariant planes intrinsically related to the distribution and defined by the fundamental subobjects. In § 5 systems of hyperquadrics defined by the fundamental subobjects of the distribution are considered. In § 6 the similarity between the geometry of surfaces and geometry of distributions is indicated.
@article{INTG_1971_3_a3,
author = {N. M. Ostianu},
title = {Distributions of $m$-dimensional line elements in a~space with projective {connection.~II}},
journal = {Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara},
pages = {95--114},
publisher = {mathdoc},
volume = {3},
year = {1971},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTG_1971_3_a3/}
}
TY - JOUR AU - N. M. Ostianu TI - Distributions of $m$-dimensional line elements in a~space with projective connection.~II JO - Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara PY - 1971 SP - 95 EP - 114 VL - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTG_1971_3_a3/ LA - ru ID - INTG_1971_3_a3 ER -
%0 Journal Article %A N. M. Ostianu %T Distributions of $m$-dimensional line elements in a~space with projective connection.~II %J Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara %D 1971 %P 95-114 %V 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTG_1971_3_a3/ %G ru %F INTG_1971_3_a3
N. M. Ostianu. Distributions of $m$-dimensional line elements in a~space with projective connection.~II. Itogi Nauki i Tekhniki. Seriya Problemy Geometrii. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 3 (1971), pp. 95-114. http://geodesic.mathdoc.fr/item/INTG_1971_3_a3/