EMBEDDING FLOWS AND SMOOTH CONJUGACY

Citation:

Zhang Meirong,Li Weigu.EMBEDDING FLOWS AND SMOOTH CONJUGACY[J].Chinese Annals of Mathematics B,1997,18(1):125~138
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Authors:

Zhang Meirong; Li Weigu

Foundation:

Project supported by the National Natural Science Foundation of China and NSFTU
Abstract: The authors use the functional equations for embedding vector fields to study smooth embedding flows of one-dimensional diffeomorphisms. The existence and uniqueness for smooth embedding flows and vector fields are proved. As an application of embedding flows, some classification results about local and global diffeomorphisms under smooth conjugacy are given.

Keywords:

Embedding flow, Embedding vector field, Smooth conjugacy,Smooth linearization

Classification:

58F35, 39B12, 57R50
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