| GENERAL |
|
|
|
|
Geometric Description of Fibre Bundle Surface for Birkhoff System |
| CAO Li-Mei, SUN Hua-Fei, ZHANG Zhen-Ning |
| Department of Mathematics, Beijing Institute of Technology, Beijing 100081 |
|
| Cite this article: |
|
CAO Li-Mei, SUN Hua-Fei, ZHANG Zhen-Ning 2009 Chin. Phys. Lett. 26 030201 |
|
|
|
|
Abstract A fibre bundle surface for the Birkhoff system is constructed. The metric and the Riemannian connection of the surface are defined and the representation of the Gaussian curvature of this surface is presented. Finally, three examples for the Birkhoff system are given to illustrate our results.
|
| Keywords:
02.40.-k
03.65.Vf
|
|
|
Received: 11 November 2008
Published: 19 February 2009
|
|
| PACS: |
02.40.-k
|
(Geometry, differential geometry, and topology)
|
| |
03.65.Vf
|
(Phases: geometric; dynamic or topological)
|
|
|
|
|
|
[1] Santilli R M 1983 Foundations of theoreticalmechanics I$\!$I (New York: Springer)
[2] Mei F X et al 1996 Dynamics of Birkhoffian System(Beijing: Beijing Institute of Technology Press) (in Chinese)
[3] Wu H B 1994 PhD Dissertation (Beijing: BeijingInstitute of Technology) (in Chinese)
[4] Mei F X 1991 Advanced Analytical Mechanics (Beijing:Beijing Institute of Technology Press) (in Chinese)
[5] Mei F X, Sang M 2008 Chin. Phys. Lett. 25 3837
[6] Mei F X 1993 Sci. Chin. A 36 145
[7] Mei F X, Xie J F and Gang T Q 2007 Chin. Phys. Lett. 24 1133
[8] Wu H B 2004 J. Beijing Inst. Technol. 24 20(in Chinese)
[9] Wu H B, Zhang Y F and Mei F X 2006 Acta Phys. Sin. 55 4987 (in Chinese)
[10] Li F X 2008 PhD Dissertation (Beijing: BeijingInstitute of Technology) (in Chinese)
[11] Chao J and Li H 2005 Proc. ICIP 1 1021
[12] Chen W H Introduction to Riemannian Geometry I(Beijing: Peking University Press) (in Chinese) |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
