The complex geometry of the Kowalewski-Painlevé analysis.
Mark Adler, Pierre van Moerbeke (1989)
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Mark Adler, Pierre van Moerbeke (1989)
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Gérard G. Emch (1975)
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Applied Mathematics E-Notes [electronic only]
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We consider volume-preserving perturbations of the time-one map of the geodesic flow of a compact surface with negative curvature. We show that if the Liouville measure has Lebesgue disintegration along the center foliation then the perturbation is itself the time-one map of a smooth volume-preserving flow, and that otherwise the disintegration is necessarily atomic.
M. Brin, M. Gromov (1980)
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