This article is cited in 5 papers

Lie triple systems and affinely connected spaces

P. I. Kovalev

Odessa State University

Abstract: In this paper the author examines certain properties of affinely connected spaces whose curvature tensor satisfies precise conditions of an algebraic character. From the basic results obtained follow sufficiency conditions under which a compact Riemannian space is symmetric.

UDC: 513

Received: 02.06.1972

 English version: Mathematical Notes, 1973, 14:1, 617–620

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