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HAMILTONIAN MECHANICS ON KAHLER MANIFOLDS

HAMILTONIAN MECHANICS ON KAHLER MANIFOLDS
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摘要 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. 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.
作者 张荣业
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第3期353-362,共10页 应用数学和力学(英文版)
关键词 Kahler manifold CONNECTION absolute differential Lie derivative Hamiltonian vector 1-parameter group Kahler manifold connection absolute differential Lie derivative Hamiltonian vector 1-parameter group
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参考文献1

  • 1Zhang Rongye.Newtonian Mechanics on K?hler Manifold[J].Applied Mathematics and Mechanics.1996(8)

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