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- W3103152055 abstract "Let ({Sigma}, g) be a compact $C^2$ finslerian 3-manifold. If the geodesic flow of g is completely integrable, and the singular set is a tamely-embedded polyhedron, then ${pi}_1({Sigma})$ is almost polycyclic. On the other hand, if {Sigma} is a compact, irreducible 3-manifold and ${pi}_1({Sigma})$ is infinite polycyclic while ${pi}_2({Sigma})$ is trivial, then {Sigma} admits an analytic riemannian metric whose geodesic flow is completely integrable and singular set is a real-analytic variety. Additional results in higher dimensions are proven." @default.
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- W3103152055 date "2017-10-03" @default.
- W3103152055 modified "2023-09-27" @default.
- W3103152055 title "Invariant fibration of geodesic flows" @default.
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