Zhang Rongye. Lagrangian Vector Field on Kahler Manifold[J]. Applied Mathematics and Mechanics, 1996, 17(9): 849-855.
Citation:
Zhang Rongye. Lagrangian Vector Field on Kahler Manifold[J]. Applied Mathematics and Mechanics, 1996, 17(9): 849-855.
Zhang Rongye. Lagrangian Vector Field on Kahler Manifold[J]. Applied Mathematics and Mechanics, 1996, 17(9): 849-855.
Citation:
Zhang Rongye. Lagrangian Vector Field on Kahler Manifold[J]. Applied Mathematics and Mechanics, 1996, 17(9): 849-855.
Lagrangian Vector Field on Kahler Manifold
Received Date: 1995-10-12
Publish Date:
1996-09-15
Abstract
In this paper.we discuss Lagrangian vector field on Kähler manifold and use it to describe and solve some problem in Newtonican and Lagrangian Mechanics on Kähler Manifold.
Keywords:
Kähler manifold ,
tangent and cotangent bundle ,
fiber ,
Connection ,
tensor product ,
exterior product ,
exterior Differential ,
absolute differential ,
symplectic form ,
Lagrangian Form ,
Hamiltonian vector field ,
Lagrangian vector field ,
dynamical group
References
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陈省身、陈维恒:《微分几何讲义》,北大出版社(1983).
[3]
Tanjiro Okubo,Differential Geometry,Marchl Dekker.Inc.(1987).
[4]
R.O.Wells,Jr,Differential .Analysis on Complex Manifolds,Springer-Verlag.New York Inc.(1984).
[5]
Kunihiko Kodaira,Compler Afanifolds and Deformation of Complex Structures,Springcr-Verlag(1987).
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