Lagrangian and Hamiltonian Dynamics on Para-Kaehlerian Space Form

2009/02/26 by Mehmet Tekkoyun, Tekkoyun, Mehmet
Mathematics · Physics and Astronomy · #37Fxx #53Cxx #Advanced Differential Geometry Research #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometry and complex manifolds #math.DG #math.DS #msc:37Fxx #msc:53Cxx

paper · pdf · doi:10.48550/arxiv.0902.4522

PACS:02.40

arxiv created 2009/02/26 · openalex publication_date 2009/02/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

• Mechanics Systems on Para-Kaehlerian Manifolds of Constant J-Sectional Curvature
• Lagrangian and Hamiltonian Mechanical Systems on Para-Quaternionic Kaehler Manifolds
• Hamiltonian Mechanic Systems on the Standard Cliffordian Kaehler Manifolds
• Hamiltonian Mechanics on Quaternion Kaehler Manifolds
• Lagrangian Mechanics on the standard Cliffordian Kaehler Manifolds