HAMILTONIAN MECHANICS ON K(A)HLER MANIFOLDS

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HAMILTONIAN MECHANICS ON K(A)HLER MANIFOLDS

Using the mechanical principle, the theory of modern geometry and advanced calculus, Hamiltonian mechanics was generalized to Kahler manifolds, and the Hamiltonian mechanics on Kahler manifolds was established. Then the complex mathematical aspect of Hamiltonian vector field and Hamilton's equations was obtained, and so on.

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作 者: ZHANG Rong-ye  
作者单位:Institute of Mathematis, Chinese Academy of Sciences, Beijing 100080, P. R. China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2006 27(3) 
分类号:O313.1 
关键词:Kahler manifold   connection   absolute differential   Lie derivative   Hamiltonian vector   1-parameter group  
机标关键词:mechanical principlethe Hamiltonianvector field 
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