{"title":"Invariants of Surfaces in Three-Dimensional Affine Geometry","authors":"O. Arnaldsson, F. Valiquette","doi":"10.3842/SIGMA.2021.033","DOIUrl":null,"url":null,"abstract":"Using the method of moving frames we analyze the algebra of differential invariants for surfaces in three-dimensional affine geometry. For elliptic, hyperbolic, and parabolic points, we show that if the algebra of differential invariants in non-trivial, then it is generically generated by a single invariant.","PeriodicalId":8469,"journal":{"name":"arXiv: Mathematical Physics","volume":"42 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3842/SIGMA.2021.033","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Using the method of moving frames we analyze the algebra of differential invariants for surfaces in three-dimensional affine geometry. For elliptic, hyperbolic, and parabolic points, we show that if the algebra of differential invariants in non-trivial, then it is generically generated by a single invariant.
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