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

作者：Tekkoyun Mehmet^*; Sari Murat

来源：Physica B: Condensed Matter , 2010, 405(10): 2390-2393.

DOI：10.1016/j.physb.2010.02.052

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

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.

• 出版日期2010-5-15