Some Properties of Symplectic Manifolds S on the Projective Tangent Bundle PTM

Yong He; Xiao Ying Lu; Wei Na Lu

doi:10.4028/www.scientific.net/AMR.187.483

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 187Some Properties of Symplectic Manifolds S on the...

Some Properties of Symplectic Manifolds S on the Projective Tangent Bundle PTM

Abstract:

In this paper, we show the relationship between 2-form of the two projective tangent bundle and the relationship between 2-form on projective tangent bundle and 1-form on by using the theory of fiber bundle and the properties of symplectic manifold of the projective tangent bundle . Moreover, we derived a simpler formula of Lie derivative of a special vector field, which is on the projective tangent bundle.

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Periodical:

Advanced Materials Research (Volume 187)

Pages:

483-486

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.187.483

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Online since:

February 2011

Authors:

Yong He, Xiao Ying Lu, Wei Na Lu

Keywords:

Hilbert Form, Lie Derivative, Projective Tangent Bundle, Symplectic Manifold

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References

[1] S.S. Chern. About Finsler Geometry. Comptes Rendus. Acad. sci. paris, vol314, 757-761.

Google Scholar

[2] M. Matsumoto . Foundation of Finsler Geometry and Special Finsler Space. Japan: kaiseiha Press, otsu-shi, (1986).

Google Scholar

[3] Zhongmin Shen . Riemann-Finsler Geometry With Application to Information Geometry. Chinese Annalls Mathematics , 27B(1), 2006, 73-74.

Google Scholar

[4] Bin Chen. Yibing Shen Kahler Finsler Metrics Are Actually strongly Kahler. Chinese Annals of Mathmatics, Seris B, 30B(2), 2009, 173-178.

Google Scholar

[5] Gong Jiaji，Wu Jianwen. projected Finsler bundle to be and Finsler space，Fujian Normal University academic paper，2000 6， 1-4.

Google Scholar

[6] Nie Zhi. Finsler's Chern connection and Gauss formula of the sub-manifold，mathematics magazine 2004. 5，537-542.

Google Scholar

[7] Zhong Chunpin. Double Finsle sub manifold's pure curvature. Chinese science, Collection A, 2009, vol. 39, (7)，899-941, (4), 172-176.

Google Scholar

[8] Yan Rongmu. The Laplac arithmetic operator on Finsler manifold, Mathematics and Biology acdamic paper，2004，24A(4)，420-425.

Google Scholar