Yokes and symplectic structures |
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| Institution: | 1. Departamento de Física Teórica, Facultad de Ciencias Físicas, Universidad Complutense de Madrid, Madrid 28040, Spain;2. Instituto de Ciencias Matemáticas, C/ Nicolás Cabrera, No 13–15, Madrid 28049, Spain;3. Dipartimento di Matematica e Geoscienze, Università degli Studi di Trieste, piaz.le Europa 1, I–34127 Trieste, Italy |
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| Abstract: | A relationship between yokes and symplectic forms is established and explored. It is shown that normalised yokes correspond to certain symplectic forms. A method of obtaining new yokes from old is given, motivated partly by the duality between the Hamiltonian and Lagrangian formulations of conservative mechanics. Some variants of this construction are suggested. |
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