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作 者:张荣业
机构地区:[1]Institute of Mathematics Chinese Academy of Scineces, Beijing 100080, P. R. China
出 处:《Applied Mathematics and Mechanics(English Edition)》2006年第2期269-278,共10页应用数学和力学(英文版)
摘 要:The important notions and results of the integral invariants of Poincard and Cartan-Poincard and the relationship between integral invariant and invariant form established first by E. Cartan in the classical mechanics are generalized to Hamilton mechanics on Kiihler manifold, by the theory of modern geometry and advanced calculus, to get the corresponding wider arid deeper results. differentialThe important notions and results of the integral invariants of Poincard and Cartan-Poincard and the relationship between integral invariant and invariant form established first by E. Cartan in the classical mechanics are generalized to Hamilton mechanics on Kiihler manifold, by the theory of modern geometry and advanced calculus, to get the corresponding wider arid deeper results. differential
关 键 词:Kahler manifold symplectic manifold invariant form integral invariant vector field form field Lie derivative exterior differential
分 类 号:O316[理学—一般力学与力学基础] O175[理学—力学]
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