| 词汇 | diffeomorphism |
| 语种 | 英语、汉语、英汉翻译、汉英翻译 |
| 释义 | BETA Examples of diffeomorphismdiffeomorphism isn’t in the Cambridge Dictionary yet. You can help! The map f is a nice diffeomorphism if it is nice at both ends. Moreover, we not only obtain a dominated splitting, but also the fact that the diffeomorphism is hyperbolic or partially hyperbolic. This map is continuous and is a diffeomorphism on the interior. Is it possible for a minimal set of a diffeomorphism of a two-dimensional manifold to carry an invariant mixing measure? Assume that f is a twist diffeomorphism on the torus. We construct a diffeomorphism preserving a non-hyperbolic measure whose pointwise dimension does not exist almost everywhere. In general, the stable and unstable foliations of a partially hyperbolic diffeomorphism do not have to be quasi-isometric. They accumulate on another invariant circle on which the induced diffeomorphism has an irrational rotation number. Here these hypotheses are replaced by the assumption that f is a nice diffeomorphism in between the critical points. Due to the high speed of the convergence, this remains true for sufficiently long orbit segments of the limit diffeomorphism. Invariant measures for a diffeomorphism which expands the leaves of a foliation. Still, the conformal volume-preserving group has infinite codimension in the full diffeomorphism group and staying in it may confer some advantage. Given a twist diffeomorphism f on the torus without a rotationalinvariant circle, there exist infinitely many periodic orbits with non-zero shear-rotation number. This is the first known example of a stably ergodic diffeomorphism that is not structurally stable. |
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