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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2007 Volume 198, Number 5, Pages 115–136 (Mi sm1130)

This article is cited in 1 paper

Complete involutive sets of functions on the cotangent bundles of compact solvmanifolds

M. V. Milovanov

Belarusian State Pedagogical University

Abstract: It is proved that on the cotangent bundle of an arbitrary compact solvmanifold there exists a complete involutive set of analytic functions that are linear in the momenta.
Bibliography: 11 titles.

UDC: 512.816.5+514.756.4

MSC: Primary 37J35; Secondary 22E25, 53D05, 70H06

Received: 15.08.2005 and 05.06.2006

DOI: 10.4213/sm1130


 English version:
Sbornik: Mathematics, 2007, 198:5, 711–731

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© Steklov Math. Inst. of RAS, 2026