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

Mehmet Tekkoyun; Murat Sari

doi:10.1016/j.physb.2010.02.052

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

Mehmet Tekkoyun^*, Murat Sari

^*Corresponding author for this work

Pamukkale University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper explores the generalization of some techniques introduced in the papers (see [12,13]). Clearly, mechanical systems have been studied by means of the geometry of tangent bundle, more precisely, using polynomic structures on complex- and para-complex-manifolds. Also, formalisms of Lagrangian and Hamiltonian mechanics have intrinsically been described on the bi-Lagrangian manifold. This study showed that physically working on a subdomain of a manifold has been seen to be the same as working on the manifold.

Original language	English
Pages (from-to)	2390-2393
Number of pages	4
Journal	Physica B: Condensed Matter
Volume	405
Issue number	10
DOIs	https://doi.org/10.1016/j.physb.2010.02.052
Publication status	Published - 15 May 2010
Externally published	Yes

Keywords

Bi-Lagrangian
Para-complex geometry
Para-Hamiltonian
Para-Lagrangian

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10.1016/j.physb.2010.02.052

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abstract = "This paper explores the generalization of some techniques introduced in the papers (see [12,13]). Clearly, mechanical systems have been studied by means of the geometry of tangent bundle, more precisely, using polynomic structures on complex- and para-complex-manifolds. Also, formalisms of Lagrangian and Hamiltonian mechanics have intrinsically been described on the bi-Lagrangian manifold. This study showed that physically working on a subdomain of a manifold has been seen to be the same as working on the manifold.",

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KW - Para-complex geometry

KW - Para-Hamiltonian

KW - Para-Lagrangian

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

Abstract

Keywords

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