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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1984 Volume 125(167), Number 2(10), Pages 167–180 (Mi sm2077)

Maximally mobile spaces of hyperplane elements with a general affine connection

A. I. Egorov


Abstract: 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.

UDC: 514.7

MSC: Primary 57S15; Secondary 53B99

Received: 27.08.1982 and 23.11.1983


 English version:
Mathematics of the USSR-Sbornik, 1986, 53:1, 169–182

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© Steklov Math. Inst. of RAS, 2026