Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 169-182
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A. I. Egorov. Maximally mobile spaces of hyperplane elements with a general affine connection. Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 169-182. http://geodesic.mathdoc.fr/item/SM_1986_53_1_a8/
@article{SM_1986_53_1_a8,
author = {A. I. Egorov},
title = {Maximally mobile spaces of hyperplane elements with a~general affine connection},
journal = {Sbornik. Mathematics},
pages = {169--182},
year = {1986},
volume = {53},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1986_53_1_a8/}
}
TY - JOUR
AU - A. I. Egorov
TI - Maximally mobile spaces of hyperplane elements with a general affine connection
JO - Sbornik. Mathematics
PY - 1986
SP - 169
EP - 182
VL - 53
IS - 1
UR - http://geodesic.mathdoc.fr/item/SM_1986_53_1_a8/
LA - en
ID - SM_1986_53_1_a8
ER -
%0 Journal Article
%A A. I. Egorov
%T Maximally mobile spaces of hyperplane elements with a general affine connection
%J Sbornik. Mathematics
%D 1986
%P 169-182
%V 53
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1986_53_1_a8/
%G en
%F SM_1986_53_1_a8
The author defines the algebraic tensor structures which characterize the maximally mobile spaces of hyperplane elements with a general affine connection, and establishes the maximal orders of the groups of motions $G_r$ in these spaces. The main aim is to determine a tensor test for a maximally mobile space. Bibliography: 5 titles.
[1] Kobayasi Sh., Nomidzu S., Osnovy differentsialnoi geometrii, T. 1, 2, Nauka, M., 1981
[2] Laptev B. L., “Proizvodnaya Li v prostranstvakh opornykh elementov”, Tr. seminara po vekt. i tenz. analizu, Izd-vo MGU, M., 1956, No 10, 227–248 | MR
[3] Egorov I. P., “Dvizheniya v prostranstvakh affinnoi svyaznosti”, Zapiski Penzenskogo ped. in-ta, 1965, 5–179
[4] Egorov A. I., “O dvizheniyakh v prostranstvakh giperploskostnykh elementov obschei affinnoi svyaznosti”, Differentsialnaya geometriya, Saratov, 1981, 9–17 | Zbl
[5] Urbonas A. P., “O dvizheniyakh v prostranstvakh giperploskostnykh elementov”, Litov. matem. sb., 11:2 (1971), 397–399 | MR
