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约束转动相对论性Birkhoff系统的几何理论

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Generalized geometry theory on constrained rotating relativistic Birkhoffian systems
This paper focuses on studying the generalized geometry theory of constrained rotating relativistic Birkhoffian systems. Based on the fact that relativistic rotating inertia is embedded in the Birkhoffian systems, the Pfaff action of rotating relativistic Birkhoffian systems was defined. The Pfaff-Birkhoff principles and Birkhoff's equations of the constrained rotating relativistic systems were obtained. The geometrical description, the exact properties and their forms on R × T*M for the constrained rotating relativistic Birkhoffian systems are given. The global analyses of the autonomous, semi-autonomous and non-autonomous constrained relativistic Birkhoff's equations as well as the geometrical properties of energy change for the constrained rotating relativistic Birkhoffian systems were also conducted.

relativityconstrained rotating Birkhoff's equationgeometrical descriptionglobal analysis

郑世旺、傅景礼、施沈阳、陈立群、陈向伟

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Department of Physics, Shangqiu Teachers College, Shangqiu 476000, P. R. China

Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, P. R. China

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

relativity constrained rotating Birkhoff's equation geometrical description global analysis

国家自然科学基金国家自然科学基金河南省自然科学基金河南省自然科学基金

10672143103720530301101140005011022200

2007

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2007.11(2)
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