Dominated splitting versus small angles |
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| Authors: | Chao Liang Geng Liu |
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| Institution: | (1) Applied Mathematics Department, The Central University of Finance and Economics, Beijing, 100081, P. R. China;(2) School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China |
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| Abstract: | In this paper, we give a partial answer to the problem proposed by Lan Wen. Roughly speaking, we prove that for a fixed i, f has C
1 persistently no small angles if and only if f has a dominated splitting of index i on the C
1
i-preperiodic set P
*
i
(f). To prove this, we mainly use some important conceptions and techniques developed by Christian Bonatti. In the last section,
we also give a characterization of the finest dominated splitting for linear cocycles.
Liang and Liu are supported by NNSFC(#10671006) |
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| Keywords: | dominated splitting linear cocycle BGV-equivalence |
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