2009/02/24 by Mehmet Tekkoyun, Tekkoyun, Mehmet, Ali Görgülü +2
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Control and Dynamics of Mobile Robots #Geometric Analysis and Curvature Flows #math.DG #math.DS #msc:53C15 #msc:70H03
paper · pdf · doi:10.48550/arxiv.0902.4128
arxiv created 2009/02/24 · arxiv updated 2009/12/01
In this study, it is generalized the concept of Lagrangian mechanics with constraints to complex case. To be beginning, it is considered a Kaehlerian manifold as a velocity-phase space. Then a non-holonomic constraint is given by 1-form on it. If the form is closed, it is found that the constraint is (locally) holonomic. In the result, complex analogous of some topics in constrained Lagrangian mechanical system is concluded.