{"title":"Momentum Equation","authors":"E. M. Inez","doi":"10.1201/9781315273426-25","DOIUrl":null,"url":null,"abstract":"By using the theory of Lie algebroids, the momentum equation for a nonholonomically constrained mechanical system with symmetry is reinterpreted in terms of parallel transport with respect to a connection. Such connection is canonically asociated to the geometry of the problem.","PeriodicalId":319727,"journal":{"name":"Fluid Mechanics for Civil Engineers","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fluid Mechanics for Civil Engineers","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/9781315273426-25","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
By using the theory of Lie algebroids, the momentum equation for a nonholonomically constrained mechanical system with symmetry is reinterpreted in terms of parallel transport with respect to a connection. Such connection is canonically asociated to the geometry of the problem.
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