向量丛动力系统研究注记(Ⅰ)
Notes on a Study of Vector Bundle Dynamical Systems(Ⅰ)
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摘要: 本文是以前一文的延续,仍着重讨论向FlHl.丛底空间上的动力系统与各个相配标架丛上动力系统之间的关系。
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关键词:
- 向量丛 /
- 标架丛 /
- Grassmann丛 /
- 遍历性 /
- Borel划分
Abstract: This paper is a continuation of a previous one. We still emphasize the discussionon the relation between the dynamics on the base space of a rector bundle and that oneach associated bundle of frames.-
Key words:
- vector bundle /
- bundle of frames /
- Grassmann bundle /
- ergodicity /
- Borel partition
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[1] R. A. Johnson. K. J. Palmer and G. R. Sell, Ergodic properties of linear dynamical systems. SIAM. J. Math Anal., 18(1987), 1-33. [2] S. T. Liao, On characteristic exponents construction of a new Borel set for the multiplicative ergodic theorem for vector fields, Acta Scientiarum Natunalium Universitatis Pekinensis, 29(1993), 277-302. [3] B. B涅梅茨基和B. B.斯捷巴诺夫,《微分方程定性论》,科学出科社(1959). [4] N. E. Steenrod, The Topology of Fibre Bundles, Princeton, 1951. [5] 廖山涛,一个推广的c1封闭引理,北京大学学报(自然科学)(3)(1979), 1-41 [6] H. Federer, Geometric Measure Theory, Springer-Verlag, 1969.
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