MECHANICAL SYSTEMS ON ALMOST PARA/PSEUDO-KÄHLER–WEYL MANIFOLDS-Reference-Cited by-同舟云学术

MECHANICAL SYSTEMS ON ALMOST PARA/PSEUDO-KÄHLER–WEYL MANIFOLDS

Published:2013-04-03 Issue:05 Volume:10 Page:1350008
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

KASAP ZEKİ¹,TEKKOYUN MEHMET²

Affiliation:

1. Department of Elementary Education, Faculty of Education, Pamukkale University, 20070 Denizli, Turkey

2. Department of Econometrics, Çanakkale Onsekiz Mart University, Faculty of Economics and Administration Sciences at Biga, 7200 Biga/Çanakkale, Turkey

Abstract

The paper aims to introduce Lagrangian and Hamiltonian formalism for mechanical systems using para/pseudo-Kähler manifolds, representing an interesting multidisciplinary field of research. Moreover, the geometrical, relativistical, mechanical and physical results related to para/pseudo-Kähler mechanical systems are given, too.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887813500084

Reference18 articles.

1. M. de León and P. R. Rodrigues, Methods of Differential Geometry in Analytical Mechanics, North-Holland Mathematics Studies 152 (Elsevier, Amsterdam, 1989) pp. 263–397.

2. R. Abraham, J. E. Marsden and T. Ratiu, Manifolds, Tensor Analysis and Applications (Springer, 2001) pp. 483–542.

3. Bi-para-mechanical systems on the bi-Lagrangian manifold

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