{"title":"局部等距沉浸产生的有框曲线的特征","authors":"Peter Hornung","doi":"10.1177/10812865231211293","DOIUrl":null,"url":null,"abstract":"We characterize the class of framed curves that are induced by local isometric immersions (bending deformations) defined in a neighbourhood of a curve in the reference configuration. This characterization is sharp; in particular, for every framed curve belonging to the class, we construct a local isometric immersion from which it arises.","PeriodicalId":502792,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"8 12","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Characterization of framed curves arising from local isometric immersions\",\"authors\":\"Peter Hornung\",\"doi\":\"10.1177/10812865231211293\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We characterize the class of framed curves that are induced by local isometric immersions (bending deformations) defined in a neighbourhood of a curve in the reference configuration. This characterization is sharp; in particular, for every framed curve belonging to the class, we construct a local isometric immersion from which it arises.\",\"PeriodicalId\":502792,\"journal\":{\"name\":\"Mathematics and Mechanics of Solids\",\"volume\":\"8 12\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics and Mechanics of Solids\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1177/10812865231211293\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Mechanics of Solids","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1177/10812865231211293","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Characterization of framed curves arising from local isometric immersions
We characterize the class of framed curves that are induced by local isometric immersions (bending deformations) defined in a neighbourhood of a curve in the reference configuration. This characterization is sharp; in particular, for every framed curve belonging to the class, we construct a local isometric immersion from which it arises.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
