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- W2163919807 abstract "Abstract We prove that for a C 1 -generic (dense G δ ) subset of all the conservative vector fields on three-dimensional compact manifolds without singularities, we have for Lebesgue almost every (a.e.) point p ∈ M that either the Lyapunov exponents at p are zero or X is an Anosov vector field. Then we prove that for a C 1 -dense subset of all the conservative vector fields on three-dimensional compact manifolds, we have for Lebesgue a.e. p ∈ M that either the Lyapunov exponents at p are zero or p belongs to a compact invariant set with dominated splitting for the linear Poincaré flow." @default.
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- W2163919807 date "2007-10-01" @default.
- W2163919807 modified "2023-10-17" @default.
- W2163919807 title "The Lyapunov exponents of generic zero divergence three-dimensional vector fields" @default.
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- W2163919807 doi "https://doi.org/10.1017/s0143385707000107" @default.
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