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Integrability Versus Topology of Configuration Manifolds and Domains of Possible Motions by Rudnev, M.; Ten, V. is a scholarly article available to read on EtoBox.

What is Integrability Versus Topology of Configuration Manifolds and Domains of Possible Motions about?

We establish a generic sufficient condition for a compact $n$-dimensional manifold bearing an integrable geodesic flow to be the $n$-torus. As a complementary result, we show that in the case of domains of possible motions with boundary, the first Betti number of the domain of possible motions may be arbitrarily large.

Author

Rudnev, M.; Ten, V.

Published

2005

Language

EN