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A SIMPLER PROOF OF THE EXTENDED C~1 CLOSING LEMMA

麦结华

1989中国科学通报:英文版Mathematics被引 2

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摘要

The C~1 Closing Lemma and its extension have been discussed in detail in Refs. [1--4]. It is Professor Liao Shantao who first gave a correct proof of this lemma and its extension. In this note, using the theorem on the existence of the Nfold-undisturbing, progressive and minute movement under a sequence of linear transformations in [5], and making a meticulous analysis of C~1 norms of C~1 vector fields on manifolds, we give a simpler proof of the extended C~1 Closing Lemma.

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麦结华. A SIMPLER PROOF OF THE EXTENDED C~1 CLOSING LEMMA[J]. 中国科学通报:英文版, 1989.

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