{"title":"The flow-geodesic curvature and the flow-evolute of spherical curves","authors":"M. Crășmăreanu","doi":"10.55730/1300-0098.3538","DOIUrl":null,"url":null,"abstract":": We introduce and study a deformation of the geodesic curvature for a given spherical curve γ . Also, we define a new type of evolute and two Fermi-Walker type derivatives for γ . Some concrete examples are detailed with a special attention towards space curves with a constant torsion","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Turkish Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.55730/1300-0098.3538","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
: We introduce and study a deformation of the geodesic curvature for a given spherical curve γ . Also, we define a new type of evolute and two Fermi-Walker type derivatives for γ . Some concrete examples are detailed with a special attention towards space curves with a constant torsion
期刊介绍：
The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research
Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics.
Contribution is open to researchers of all nationalities.
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