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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2000, Volume 231, Pages 46–63 (Mi tm511)  
This article is cited in 17 scientific papers (total in 17 papers)

Integrable Geodesic Flows on the Suspensions of Toric Automorphisms

A. V. Bolsinova, I. A. Taimanovb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (247 kB) Citations (17)
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Abstract: Integrable geodesic flows are studied on suspensions of toric automorphisms. It is shown that, for linear automorphisms with real spectrum, such flows always exist. Their entropy characteristics are investigated. In particular, in the case of hyperbolic automorphisms, we describe explicitly a closed invariant subset on which the topological entropy of the geodesic flow is positive.
Received in December 1999
Bibliographic databases:
UDC: 517.938.5
Language: Russian
Citation: A. V. Bolsinov, I. A. Taimanov, “Integrable Geodesic Flows on the Suspensions of Toric Automorphisms”, Dynamical systems, automata, and infinite groups, Collected papers, Trudy Mat. Inst. Steklova, 231, Nauka, MAIK «Nauka/Inteperiodika», M., 2000, 46–63; Proc. Steklov Inst. Math., 231 (2000), 42–58
Citation in format AMSBIB
\Bibitem{BolTai00}
\by A.~V.~Bolsinov, I.~A.~Taimanov
\paper Integrable Geodesic Flows on the Suspensions of Toric Automorphisms
\inbook Dynamical systems, automata, and infinite groups
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2000
\vol 231
\pages 46--63
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm511}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1841751}
\zmath{https://zbmath.org/?q=an:1005.53064}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2000
\vol 231
\pages 42--58
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