Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Tekkoyun, Mehmet"'
Autor:
Tekkoyun, Mehmet, Çelik, Oğuzhan
In this study, we present a new analogue of Euler-Lagrange and Hamilton equations on an almost K\"ahler model of a Finsler manifold. Also, we give some corollories about the related mechanical systems and equations.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/1211.0609
Autor:
Kasap, Zeki, Tekkoyun, Mehmet
This manuscript presents an attempt to introduce Lagrangian formalism for mechanical systems using para-quaternionic Kahler manifolds, which represent an interesting multidisciplinary field of research. In addition to, the geometrical-physical result
Externí odkaz:
http://arxiv.org/abs/1209.5444
Autor:
Kasap, Zeki, Tekkoyun, Mehmet
This study is an extented analogue to conformal geometry of the paper given by [14]. Also, the geometric and physical results related to bi-para-conformal-dynamical systems are also presented.
Externí odkaz:
http://arxiv.org/abs/1209.3101
Autor:
Tekkoyun, Mehmet
In the present paper, we introduce para-quaternionic Kaehler analogue of Lagrangian and Hamiltonian mechanical systems. Finally, the geometrical-physical results related to para-quaternionic Kaehler mechanical systems are also given.
Comment: 22
Comment: 22
Externí odkaz:
http://arxiv.org/abs/1001.3490
Autor:
Tekkoyun, Mehmet
The goal of this paper, using lifting theory it is to produce almost paracomplex struc- tures on the tangent bundle of almost Lorentzian r-paracontact manifold endowed with almost Lorentzian r-paracontact structure. Finally, we discuss the effect ove
Externí odkaz:
http://arxiv.org/abs/0903.0229
Autor:
Tekkoyun, Mehmet
In this study, firstly, the k-th order extension of complex product manifold is consid- ered. Then the higher order vertical, complete lifts of geometric structures on product manifold to its extended spaces are given. Also higher order lifts of tens
Externí odkaz:
http://arxiv.org/abs/0903.0222
Autor:
Tekkoyun, Mehmet
In this study, Hamiltonian and Lagrangian theories, which are mathematical models of mechanical systems, are structured on the horizontal and the vertical distributions of tangent and cotangent bundles. In the end, the geometrical and physical result
Externí odkaz:
http://arxiv.org/abs/0903.0224
Autor:
Tekkoyun, Mehmet
This article presents the further steps of the previously done studies taking into consideration the k-th order extensions of a complex manifold. In the previous studies higher order vertical and complete lifts of structures on the complex manifold w
Externí odkaz:
http://arxiv.org/abs/0903.0059
Autor:
Tekkoyun, Mehmet
In this study, we introduce Euler-Lagrange and Hamiltonian equations on (R2; g; J) being a model of para-Kaehlerian Space Forms. Finally, some geometrical and physical results on the related mechanic systems have been discussed.
Comment: PACS:02
Comment: PACS:02
Externí odkaz:
http://arxiv.org/abs/0902.4522
In this paper, Lagrangian formalisms of Classical Mechanics was deduced on Kaehlerian manifold being geometric model of a generalized Lagrange space.Then, it was given two applications of complex Euler-Lagrange equations on mechanics system.
Externí odkaz:
http://arxiv.org/abs/0902.4131