{"title":"对偶空间中与伪球面上曲线对应的直纹曲面的交点","authors":"YUNUS ÖZTEMİR, MUSTAFA ÇALIŞKAN","doi":"10.46939/j.sci.arts-23.1-a05","DOIUrl":null,"url":null,"abstract":"In this article, firstly, the intersection of two ruled surfaces corresponding to two different curves on S_1^2 is investigated. The conditions for the intersection of these ruled surfaces in R_1^3 are expressed by theorems with bivariate functions. Then, the intersection of two ruled surfaces corresponding to two different curves on H^2 is examined. Similarly, the conditions for the intersection of these ruled surfaces in R_1^3 are shown by some illustrative theorems with bivariate functions. Finally, some examples are given to support the main results.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"455 1","pages":"0"},"PeriodicalIF":0.3000,"publicationDate":"2023-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"INTERSECTIONS OF RULED SURFACES CORRESPONDING TO CURVES ON PSEUDO SPHERES IN DUAL SPACE\",\"authors\":\"YUNUS ÖZTEMİR, MUSTAFA ÇALIŞKAN\",\"doi\":\"10.46939/j.sci.arts-23.1-a05\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, firstly, the intersection of two ruled surfaces corresponding to two different curves on S_1^2 is investigated. The conditions for the intersection of these ruled surfaces in R_1^3 are expressed by theorems with bivariate functions. Then, the intersection of two ruled surfaces corresponding to two different curves on H^2 is examined. Similarly, the conditions for the intersection of these ruled surfaces in R_1^3 are shown by some illustrative theorems with bivariate functions. Finally, some examples are given to support the main results.\",\"PeriodicalId\":54169,\"journal\":{\"name\":\"Journal of Science and Arts\",\"volume\":\"455 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-03-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Science and Arts\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46939/j.sci.arts-23.1-a05\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Science and Arts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46939/j.sci.arts-23.1-a05","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
INTERSECTIONS OF RULED SURFACES CORRESPONDING TO CURVES ON PSEUDO SPHERES IN DUAL SPACE
In this article, firstly, the intersection of two ruled surfaces corresponding to two different curves on S_1^2 is investigated. The conditions for the intersection of these ruled surfaces in R_1^3 are expressed by theorems with bivariate functions. Then, the intersection of two ruled surfaces corresponding to two different curves on H^2 is examined. Similarly, the conditions for the intersection of these ruled surfaces in R_1^3 are shown by some illustrative theorems with bivariate functions. Finally, some examples are given to support the main results.
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