Entropy for frame bundle systems and Grassmann bundle systems induced by a diffeomorphism |
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| Authors: | Sun Wenxiang |
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| Affiliation: | School of Mathematical Sciences, Peking University, Beijing 100871, China (email: sunwx@math.pku.edu.cn) |
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| Abstract: | A Liao hyperbolic diffeomorphism has equal measure entropy and topological entropy to that of its induced systems on frame bundles and Grassmann bundles. This solves a problem Liao posed in 1996 for Liao hyperbolic diffeomorphisms. |
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| Keywords: | orthonormal frame bundle Grassmann bundle entropy |
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