关于阿诺索夫微分同胚不动点存在的斯梅尔猜想
动力系统
2011-06-14 v3
摘要
我们证明，如果一个连通紧流形上的阿诺索夫微分同胚的稳定叶状结构和非稳定叶状结构是的，那么该微分同胚具有不动点。这是对阿诺索夫微分同胚不动点的斯梅尔猜想的一个部分肯定回答。
引用
@article{arxiv.1106.1058,
title = {On a Smale Conjecture for the existence of fixed points for Anosov diffeomorphisms},
author = {Tomoo Yokoyama},
journal= {arXiv preprint arXiv:1106.1058},
year = {2011}
}
备注
This paper has been withdrawn by the author due to a crucial error that the the constructed metric $g$ in the proof of the key lemma does not preserve subbundles