On the problem of the distribution of gaps in the orders of the full groups of motions of general path spaces

A. I. Egorov


Abstract: 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.

UDC: 514

MSC: 53A55, 53B99

Received: 03.03.1983 and 24.05.1984

 English version: Mathematics of the USSR-Sbornik, 1986, 55:1, 259–271

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