This article is cited in 2 papers

Linear extensions of dynamic systems and the reducibility problem

S. B. Katok

M. V. Lomonosov Moscow State University

Abstract: The relation of linear extensions of smooth dynamic systems to cohomologies and to reducibility in the case of flow is investigated. A result is obtained concerning $\Gamma$-cohomologies in the neighborhood of a constant cocycle for the case of an arbitrary closed subgroup $\Gamma$ of the group $GL(k, C)$.

UDC: 517.9

Received: 07.07.1969

 English version: Mathematical Notes, 1970, 8:4, 722–728

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