JP Journal of Geometry and Topology
Volume 11, Issue 1, Pages 77 - 86
(March 2011)
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COMPLEX LAGRANGIAN MECHANICS WITH CONSTRAINTS
Mehmet Tekkoyun and Ali G�rg�l�
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Abstract: In this study, the concept of Lagrangian mechanics with constraints to complex case is generalized. To be beginning, it is considered a K�hlerian manifold as a velocity-phase space. Then a non-holonomic constraint is given by 1-form on it. If the form is closed, then it is found that the constraint is (locally) holonomic. In the result, complex analogous of some topics in constrained Lagrangian mechanical system is concluded. |
Keywords and phrases: K�hlerian structures, constrained Lagrangian dynamics. |
Communicated by Yasuo Matsushita |
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