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On a geometric framework for Lagrangian supermechanics

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cris.lastimport.scopus2024-02-12T20:55:13Z
dc.abstract.enAbstract We re--examine classical mechanics with both commuting and anticommuting degrees of freedom. We do this by defining the phase dynamics of a general Lagrangian system as an implicit differential equation in the spirit of Tulczyjew. Rather than parametrising our basic degrees of freedom by a specified Grassmann algebra, we use arbitrary supermanifolds by following the categorical approach to supermanifolds.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorGrabowska, Katarzyna
dc.contributor.authorBruce, Andrew James
dc.contributor.authorMoreno, Giovanni
dc.date.accessioned2024-01-25T15:44:45Z
dc.date.available2024-01-25T15:44:45Z
dc.date.issued2017
dc.description.financeNie dotyczy
dc.identifier.doi10.3934/JGM.2017016
dc.identifier.issn1941-4889
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114651
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofJournal of Geometric Mechanics
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enSupermechanics supermanifolds Lagrangian systems Tulczyjew triples curves
dc.titleOn a geometric framework for Lagrangian supermechanics
dc.typeJournalArticle
dspace.entity.typePublication