Semantic Scholar Open Access 1999 24 sitasi

Integrable geodesic flows on the suspensions of toric automorphisms

A. Bolsinov I. Taimanov

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Abstrak

For any toric automorphism with only real eigenvalues a Riemannian metric with an integrable geodesic flow on the suspension of this automorphism is constructed. A qualitative analysis of such a flow on a three-solvmanifold constructed by the authors in math.DG/9905078 is done. This flow is an example of the geodesic flow, which has vanishing Liouville entropy and, moreover, is integrable but has positive topological entropy. The authors also discuss some open problems on integrability of geodesic flows and related subjects.

Topik & Kata Kunci

Mathematics

Penulis (2)

A. Bolsinov

I. Taimanov

Format Sitasi

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Bolsinov, A., Taimanov, I. (1999). Integrable geodesic flows on the suspensions of toric automorphisms. https://www.semanticscholar.org/paper/48d37fa036e62a7bf72051fa8cde597ebf7896e9

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Informasi Jurnal

Tahun Terbit: 1999
Bahasa: en
Total Sitasi: 24×
Sumber Database: Semantic Scholar
Akses: Open Access ✓