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On Dirac
structures admitting a variational approach
Oscar Cosserat, Alexei Kotov, Camille Laurent-Gengoux, Leonid Ryvkin and Vladimir Salnikov |
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Vol. 11 (2023), No. 1, 1–18
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DOI: 10.2140/memocs.2023.11.1
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Abstract |
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We discuss the notion of horizontal cohomology for Dirac structures and, more generally, Lie algebroids. We then use this notion to describe the condition allowing a variational formulation of Dirac dynamics. |
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Keywords
Dirac structures, variational approach, theoretical
mechanics, constraints
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Mathematical Subject Classification
Primary: 37J06, 70H30
Secondary: 65P10
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Milestones
Received: 10 May 2022
Revised: 18 October 2022
Accepted: 15 December 2022
Published: 23 October 2023
Communicated by Francesco dell'Isola
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Authors |
| Oscar Cosserat | |
| LaSIE – CNRS University of La Rochelle 17042 La Rochelle Cedex 1 France |
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| Alexei Kotov | |
| Faculty of Science University of Hradec Králové 50003 Hradec Králové Czech Republic |
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| Camille Laurent-Gengoux | |
| Institut Élie Cartan de Lorraine
(UMR 7502) Université de Lorraine 57070 Metz France |
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| Leonid Ryvkin | |
| Georg-August-Universität
Göttingen 37073 Göttingen Germany |
Institut Camille Jordan Université Claude Bernard Lyon 1 69622 Villeurbanne France |
| Vladimir Salnikov | |
| LaSIE – CNRS / La Rochelle
University 17042 La Rochelle France |
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| © 2023 MSP (Mathematical Sciences Publishers). |
