Constrained Paracomplex Mechanical Systems

2009/02/24 by Mehmet Tekkoyun, Tekkoyun, Mehmet, Murat Sarı +2
Mathematics · Physics and Astronomy · #53C15 #70H03 #70H05 #Algebraic and Geometric Analysis #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.DS #math.MP #msc:53C15 #msc:70H03 #msc:70H05

paper · pdf · doi:10.48550/arxiv.0902.4120

arxiv created 2009/02/24 · openalex publication_date 2009/02/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this study, it is introduced paracomplex analogue of Lagrangians and Hamiltonians with constraints in the framework of para-Kaehlerian manifolds. The geometrical and mechanical results on the constrained mechanical system have also been discussed.

Related

• Lagrangian and Hamiltonian Mechanical Systems on Para-Quaternionic Kaehler Manifolds
• Complex Lagrangian mechanics with constraints
• Lagrangian and Hamiltonian Dynamics on Para-Kaehlerian Space Form
• Mechanics Systems on Para-Kaehlerian Manifolds of Constant J-Sectional Curvature
• Constraints in Hamiltonian time-dependent mechanics