Grabowski, J. and Grabowska, K. and Urbański, P. (2015) Tulczyjew triples in the constrained dynamics of strings. Il nuovo cimento C, 38 (5). pp. 1-14. ISSN 1826-9885
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Abstract
We show that there exists a natural Tulczyjew triple in the dynamics of objects for which the standard (kinematic) configuration space TM is replaced with ∧nTM. In this framework, which is completely covariant, we derive geometrically phase equations, as well as Euler-Lagrange equations, including nonholonomic constraints into the picture. Dynamics of strings and a constrained Plateau problem in statics are particular cases of this framework.
| Item Type: | Article |
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| Uncontrolled Keywords: | Geometry, differential geometry, topology; Field theory, Lagrangian and Hamiltonian approach |
| Subjects: | 500 Scienze naturali e Matematica > 530 Fisica |
| Depositing User: | Marina Spanti |
| Date Deposited: | 23 Jun 2020 08:56 |
| Last Modified: | 23 Jun 2020 08:56 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/19151 |
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