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Examples ofdiffeomorphism

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The map f is a nicediffeomorphismif it is nice at both ends.

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Moreover, we not only obtain a dominated splitting, but also the fact that thediffeomorphismis hyperbolic or partially hyperbolic.

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This map is continuous and is adiffeomorphismon the interior.

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Is it possible for a minimal set of adiffeomorphismof a two-dimensional manifold to carry an invariant mixing measure?

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Assume that f is a twistdiffeomorphismon the torus.

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We construct adiffeomorphismpreserving a non-hyperbolic measure whose pointwise dimension does not exist almost everywhere.

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In general, the stable and unstable foliations of a partially hyperbolicdiffeomorphismdo not have to be quasi-isometric.

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They accumulate on another invariant circle on which the induceddiffeomorphismhas an irrational rotation number.

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Here these hypotheses are replaced by the assumption that f is a nicediffeomorphismin between the critical points.

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Due to the high speed of the convergence, this remains true for sufficiently long orbit segments of the limitdiffeomorphism.

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Invariant measures for adiffeomorphismwhich expands the leaves of a foliation.

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Still, the conformal volume-preserving group has infinite codimension in the fulldiffeomorphismgroup and staying in it may confer some advantage.

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Given a twistdiffeomorphismf on the torus without a rotationalinvariant circle, there exist infinitely many periodic orbits with non-zero shear-rotation number.

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This is the first known example of a stably ergodicdiffeomorphismthat is not structurally stable.

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These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.

单词	diffeomorphism
释义	BETA Examples ofdiffeomorphism Dictionary> Examples ofdiffeomorphism diffeomorphismisn’t in the Cambridge Dictionary yet. You can help! Add a definition The map f is a nicediffeomorphismif it is nice at both ends. From theCambridge English Corpus Moreover, we not only obtain a dominated splitting, but also the fact that thediffeomorphismis hyperbolic or partially hyperbolic. From theCambridge English Corpus This map is continuous and is adiffeomorphismon the interior. From theCambridge English Corpus Is it possible for a minimal set of adiffeomorphismof a two-dimensional manifold to carry an invariant mixing measure? From theCambridge English Corpus Assume that f is a twistdiffeomorphismon the torus. From theCambridge English Corpus We construct adiffeomorphismpreserving a non-hyperbolic measure whose pointwise dimension does not exist almost everywhere. From theCambridge English Corpus In general, the stable and unstable foliations of a partially hyperbolicdiffeomorphismdo not have to be quasi-isometric. From theCambridge English Corpus They accumulate on another invariant circle on which the induceddiffeomorphismhas an irrational rotation number. From theCambridge English Corpus Here these hypotheses are replaced by the assumption that f is a nicediffeomorphismin between the critical points. From theCambridge English Corpus Due to the high speed of the convergence, this remains true for sufficiently long orbit segments of the limitdiffeomorphism. From theCambridge English Corpus Invariant measures for adiffeomorphismwhich expands the leaves of a foliation. From theCambridge English Corpus Still, the conformal volume-preserving group has infinite codimension in the fulldiffeomorphismgroup and staying in it may confer some advantage. From theCambridge English Corpus Given a twistdiffeomorphismf on the torus without a rotationalinvariant circle, there exist infinitely many periodic orbits with non-zero shear-rotation number. From theCambridge English Corpus This is the first known example of a stably ergodicdiffeomorphismthat is not structurally stable. From theCambridge English Corpus These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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