1. Dominated splitting versus small angles.
- Author
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Chao Liang and Geng Liu
- Subjects
- *
COCYCLES , *HOMOLOGICAL algebra , *ABSTRACT algebra , *HOMOLOGY theory , *MANIFOLDS (Mathematics) - 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 ( 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. [ABSTRACT FROM AUTHOR]
- Published
- 2008
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