On the problem of the distribution of gaps in the orders of the full groups of motions of general path spaces
Sbornik. Mathematics, Tome 55 (1986) no. 1, pp. 259-271
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A smooth $(2n-1)$-dimensional manifold $X_{2n-1}$ equipped with the structure of a tangent pseudovector bundle over a certain smooth $n$-dimensional base manifold $X_n$ is studied in this paper from a local point of view. Under the assumption that a special affine connection $\Lambda(x,y)$ is given in $X_{2n-1}$, a general path space $X_{n,y}$ is obtained.
The method used here is based on the isotropy groups of the first and second kind and the choice of special systems of coordinates.
Bibliography: 10 titles.
@article{SM_1986_55_1_a15,
author = {A. I. Egorov},
title = {On the problem of the distribution of gaps in the orders of the full groups of motions of general path spaces},
journal = {Sbornik. Mathematics},
pages = {259--271},
publisher = {mathdoc},
volume = {55},
number = {1},
year = {1986},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1986_55_1_a15/}
}
TY - JOUR AU - A. I. Egorov TI - On the problem of the distribution of gaps in the orders of the full groups of motions of general path spaces JO - Sbornik. Mathematics PY - 1986 SP - 259 EP - 271 VL - 55 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1986_55_1_a15/ LA - en ID - SM_1986_55_1_a15 ER -
A. I. Egorov. On the problem of the distribution of gaps in the orders of the full groups of motions of general path spaces. Sbornik. Mathematics, Tome 55 (1986) no. 1, pp. 259-271. http://geodesic.mathdoc.fr/item/SM_1986_55_1_a15/