Citation: | Zhang Rongye. Newtonian Mechanics on Kähler Manifold[J]. Applied Mathematics and Mechanics, 1996, 17(8): 709-719. |
[1] |
Φ.R.甘特马赫,《分析力学讲义》,人民教育出版社(1963),1-161.
|
[2] |
V.I.Arnold,Mathematical Methods of Classical Mechanics,Springer-Verlag(1978),1-270.
|
[3] |
V.I.Arnold,Mathematical aspect of classical and celestial mechanics,Encyclopaedia of Mathernatical Sciencea,Volume.3,Dynamical Systems Ⅲ,Springer-Verlag(1985),1-48.
|
[4] |
W.D.Curbs and F.R.Miller,Differential Manifolds and Theoretical Physics.,Academic Press.Inc.(1985).1-191.
|
[5] |
B.A.Dubrorin,A.T.Fomenko and S.P.Novikov,Modern Geometry-Methods and Applications,Part Ⅰ,Ⅱ,Springer-Verlag.Part Ⅰ(1984),1-374; Part Ⅱ(1984),1-357.
|
[6] |
C.Von.Westenholz.,Differential Forms in Mathematical Physics,North-Holland Publishing Company(1978),335-439.
|
[7] |
陈省身、陈维桓,《微分几何讲义》,北京大学出版社(1983).
|
[8] |
Tanjiro Okubo,Differential Geometry,Marcel Dekker.Inc.(1987),1-272.
|
[9] |
R.O.Wells,Jr.,Differential on Complex Manifolds,Springer-Verlag,New York Inc.(1980),1-216.
|
[10] |
Kunihiko Kodaira,Complex Manifolds and Deformation of Complex Structures,Springer-Verlag,New York Inc.(1986).
|
[1] | ZOU Li, WANG Zhen, ZONG Zhi, ZOU Dong-yang, ZHANG Shuo. Solving shock wave with discontinuity by enhanced differential transform method (EDTM)[J]. Applied Mathematics and Mechanics, 2012, 33(12): 1465-1476. doi: 10.3879/j.issn.1000-0887.2012.12.008 |
[2] | YAO Wei-an, LI Xiao-chuan. Symplectic Duality System on the Plane Magnetoelectroelastic Solids[J]. Applied Mathematics and Mechanics, 2006, 27(2): 177-185. |
[3] | ZHANG Rong-ye. Hamiltonian Mechanics on K3/4hler Manifolds[J]. Applied Mathematics and Mechanics, 2006, 27(3): 316-324. |
[4] | ZHANG Rong-ye. Invariant Form and Integral Invariants on Kähler Manifolds[J]. Applied Mathematics and Mechanics, 2006, 27(2): 243-252. |
[5] | ZHANG Rong-ye. Lagrangian Mechanics on K hler Manifolds[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1236-1246. |
[6] | WANG Guang-hui, WANG Lie-heng. Uzawa Type Algorithm Based on Dual Mixed Variational Formulation[J]. Applied Mathematics and Mechanics, 2002, 23(7): 682-688. |
[7] | ZHANG Rong-ye. Dynamics in Newtonian-Riemannian Space-Time (Ⅱ)[J]. Applied Mathematics and Mechanics, 2001, 22(4): 373-381. |
[8] | ZHANG Rong-ye. Dynamics in Newtonian-Riemannian Space-Time(Ⅲ)[J]. Applied Mathematics and Mechanics, 2001, 22(4): 382-392. |
[9] | ZHANG Rong-ye. Dynamics in Newtonian-Riemannian Space-Time(Ⅳ)[J]. Applied Mathematics and Mechanics, 2001, 22(4): 393-403. |
[10] | Zhao Hongyong, Teng Zhidong. On the Absolute Stability of a Class of Inditrect Control Systems[J]. Applied Mathematics and Mechanics, 2000, 21(7): 732-740. |
[11] | Zhang Rongye. Dynamics in Newtonian-Riemannian Spacetime(Ⅰ)[J]. Applied Mathematics and Mechanics, 2000, 21(7): 746-754. |
[12] | Chen Shuifu, Sun Bingnan, Tang Jinchun. An Extended k-ε Model for Numerical Simulation of Wind Flow Around Buildings[J]. Applied Mathematics and Mechanics, 1998, 19(1): 88-94. |
[13] | Zhang Rongye. Lagrangian Vector Field on Kahler Manifold[J]. Applied Mathematics and Mechanics, 1996, 17(9): 849-855. |
[14] | Chin Yuanxun. Relativistic Absoluteness of Time-Space-Moving Mass[J]. Applied Mathematics and Mechanics, 1995, 16(7): 573-576. |
[15] | Zhang Ji-ye, Shu Zhong-zhou. Necessary and Sufficient Criteria for Absolute Stability of the Direct Control System[J]. Applied Mathematics and Mechanics, 1994, 15(3): 245-251. |
[16] | Qao Guo-cheng. Explicit Criteria of Absolute Stability for the Real Second Canonical Form of Control System[J]. Applied Mathematics and Mechanics, 1993, 14(5): 445-454. |
[17] | Guo Zhong-heng, Liang Hao-yun. Absolute Representations of Spins of Principal Frames in a Continuum[J]. Applied Mathematics and Mechanics, 1991, 12(1): 39-44. |
[18] | Zhang Wei. The Criterions for Absolute Stability of Direct Control Systems of Lurie Type[J]. Applied Mathematics and Mechanics, 1989, 10(10): 909-920. |
[19] | Qiu Xiao-gang, Shu Zhong-zhou. Several Criterions of Absolute Stability for the Second Canonical Form of Control System[J]. Applied Mathematics and Mechanics, 1986, 7(9): 785-800. |
[20] | Liao Xiao-xin. On the Criterion for the Absolute Stability of the Control System[J]. Applied Mathematics and Mechanics, 1982, 3(2): 235-248. |