Hamiltonian System Mechanics on (2,0)-Jet Bundles

Authors

  • Ibrahim Yousif I. Abad alrhman Department of Math and Physics - Faculty of Education, West Kordufan University, Alnhoud City , Sudan
  • Yonnis A. Abu Aasha Department of Math and Physics - Faculty of Education, West Kordufan University, Alnhoud City , Sudan
  • Abdulaziz B. M. Hamed Department of Mathematics and Statistics, Faculty of Science, Yobe State University , Damaturu, Nigeria

Keywords:

Jet bundle, holomorphic bundle, complex, Hamiltonian Dynamics.

Abstract

The goal of this paper is to present Hamiltonian system Mechanics on (2,0)-jet bundles . In conclusion, some differential geometrical and physical results on the related  mechanic systems have been given.

References

[1] Violeta, Zalutchi, (2010),The geometry of (2; 0)-jet bundles , University "Transilvania of Brasov, of Brasov,Faculty of Mathematics and Informatics,311-320.
[2] loring .W.Tu , S.Axler , K.A.Ribet (2009) , An Introduction to Manifolds ,Springer
[3] A. Manea, (2010),A decomposition of the bundle of second order jets on a complex manifold, Analle St. Univ. "Al. I. Cuza", Iasi, LVI, 151-162.
[4] W. Stoll, P.-M. Wong, (2000) ,On holomorphic jet bunldes, preprint, arxiv:math/ 0003226v1/.
[5] Liz Lane-Harvard, Melissa Swager (2010) -Hamiltonian Systems and Chaos Overview-
[6] Mehmet Tekkoyun , (2009) ,Lagrangian and Hamiltonian Dynamics on Para-Kahlerian Space Form rXiv:0902.4522v1 [math.DS] 26.

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Published

2017-08-04

How to Cite

I. Abad alrhman, I. Y., A. Abu Aasha, Y., & B. M. Hamed, A. (2017). Hamiltonian System Mechanics on (2,0)-Jet Bundles. American Scientific Research Journal for Engineering, Technology, and Sciences, 34(1), 138–143. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/3116

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