{"title":"弹性曲线和自交线","authors":"Tatsuya Miura","doi":"arxiv-2408.03020","DOIUrl":null,"url":null,"abstract":"This is an expository note to give a brief review of classical elastica\ntheory, mainly prepared for giving a more detailed proof of the author's\nLi--Yau type inequality for self-intersecting curves in Euclidean space. We\nalso discuss some open problems in related topics.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Elastic curves and self-intersections\",\"authors\":\"Tatsuya Miura\",\"doi\":\"arxiv-2408.03020\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This is an expository note to give a brief review of classical elastica\\ntheory, mainly prepared for giving a more detailed proof of the author's\\nLi--Yau type inequality for self-intersecting curves in Euclidean space. We\\nalso discuss some open problems in related topics.\",\"PeriodicalId\":501113,\"journal\":{\"name\":\"arXiv - MATH - Differential Geometry\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Differential Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.03020\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Differential Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.03020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This is an expository note to give a brief review of classical elastica
theory, mainly prepared for giving a more detailed proof of the author's
Li--Yau type inequality for self-intersecting curves in Euclidean space. We
also discuss some open problems in related topics.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
