Complex Lagrangian mechanics with constraints
Differential Geometry
2009-02-25 v1 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.0902.4128,
title = {Complex Lagrangian mechanics with constraints},
author = {Mehmet Tekkoyun and Ali Gorgulu},
journal= {arXiv preprint arXiv:0902.4128},
year = {2009}
}