This article is cited in 7 papers

First Integrals of Groups of Complex Linear Transformations and of Natural Mechanical Systems with Homogeneous Potential

S. L. Ziglin

Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences

Abstract: We study the existence problem for rational first integrals of groups of complex linear transformations. The results obtained are used to study natural mechanical systems with homogeneous potential, in particular, the Suslov problem of motion of a rigid body about a fixed point under a nonholonomic constraint in the Kozlov case of zero constant energy.

UDC: 517.913

Received: 10.11.2000

DOI: 10.4213/mzm796

 English version: Mathematical Notes, 2001, 70:6, 765–770

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