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

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 Lagrangia...

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Bibliographic Details
Published in:Physica. B, Condensed matter Condensed matter, 2010-05, Vol.405 (10), p.2390-2393
Main Authors: Tekkoyun, Mehmet, Sari, Murat
Format: Article
Language:English
Subjects:
Bi-Lagrangian
Bundling
Condensed matter
Exact sciences and technology
Formalism
Geometry, differential geometry, and topology
Manifolds
Mathematical methods in physics
Mechanical systems
Para-complex geometry
Para-Hamiltonian
Para-Lagrangian
Physics
Tangents
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Summary: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.
ISSN:0921-4526
1873-2135
DOI:10.1016/j.physb.2010.02.052