{"title":"伽利略4空间中的等宽曲线 \\(\\mathbb {G}_4\\)","authors":"Adama Thiandoum","doi":"10.1007/s13370-025-01296-8","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we study curves of constant breadth according to Serret-Frenet frame on 4-dimensional Galilean space <span>\\(\\mathbb {G}_4\\)</span> and characterize these curves in terms of torsion and curvature functions. We give an example of curves of constant breadth to illustrate main results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Curves of constant breadth in Galilean 4-space \\\\(\\\\mathbb {G}_4\\\\)\",\"authors\":\"Adama Thiandoum\",\"doi\":\"10.1007/s13370-025-01296-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we study curves of constant breadth according to Serret-Frenet frame on 4-dimensional Galilean space <span>\\\\(\\\\mathbb {G}_4\\\\)</span> and characterize these curves in terms of torsion and curvature functions. We give an example of curves of constant breadth to illustrate main results.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":\"36 2\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Afrika Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13370-025-01296-8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-025-01296-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Curves of constant breadth in Galilean 4-space \(\mathbb {G}_4\)
In this paper, we study curves of constant breadth according to Serret-Frenet frame on 4-dimensional Galilean space \(\mathbb {G}_4\) and characterize these curves in terms of torsion and curvature functions. We give an example of curves of constant breadth to illustrate main results.
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