{"title":"伪伽利略空间中常比可容许曲线的几何","authors":"M. Khalifa Saad, H. S. Abdel-Aziz, Haytham A. Ali","doi":"10.28924/2291-8639-21-2023-102","DOIUrl":null,"url":null,"abstract":"An admissible curve of a pseudo-Galilean space is said to be of constant-ratio if the ratio of the length of the tangent and normal components of its position vector function is a constant. In this paper, we investigate and characterize a spacelike admissible curve of constant-ratio in terms of its curvature functions in the pseudo-Galilean space G13. Also, we study some special curves of constantratio such as T-constant and N-constant types of these curves. Finally, we give some computational examples for constructing the meant curves to demonstrate our theoretical results.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"224 1","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Geometry of Admissible Curves of Constant-Ratio in Pseudo-Galilean Space\",\"authors\":\"M. Khalifa Saad, H. S. Abdel-Aziz, Haytham A. Ali\",\"doi\":\"10.28924/2291-8639-21-2023-102\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An admissible curve of a pseudo-Galilean space is said to be of constant-ratio if the ratio of the length of the tangent and normal components of its position vector function is a constant. In this paper, we investigate and characterize a spacelike admissible curve of constant-ratio in terms of its curvature functions in the pseudo-Galilean space G13. Also, we study some special curves of constantratio such as T-constant and N-constant types of these curves. Finally, we give some computational examples for constructing the meant curves to demonstrate our theoretical results.\",\"PeriodicalId\":45204,\"journal\":{\"name\":\"International Journal of Analysis and Applications\",\"volume\":\"224 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.28924/2291-8639-21-2023-102\",\"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":"International Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28924/2291-8639-21-2023-102","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Geometry of Admissible Curves of Constant-Ratio in Pseudo-Galilean Space
An admissible curve of a pseudo-Galilean space is said to be of constant-ratio if the ratio of the length of the tangent and normal components of its position vector function is a constant. In this paper, we investigate and characterize a spacelike admissible curve of constant-ratio in terms of its curvature functions in the pseudo-Galilean space G13. Also, we study some special curves of constantratio such as T-constant and N-constant types of these curves. Finally, we give some computational examples for constructing the meant curves to demonstrate our theoretical results.