GEODESIC FLOWS ON CLOSED RIEMANNIAN MANIFOLDS WITHOUT FOCAL POINTS
作者： Ja B Pesin
DOI: 10.1070/IM1977V011N06ABEH001766
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摘要: In this paper it is proved that a geodesic flow on two-dimensional compact manifold of genus greater than 1 with Riemannian metric without focal points isomorphic Bernoulli flow. This result generalizes to the multidimensional case. The proof based establishing some properties flows nonzero Ljapunov exponents (the K-property, etc.), and also construction horospheres leaves very wide class manifolds, together study their geometric properties.Bibliography: 24 titles.
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