{"title":"伽利略空间中的桥本曲面 \\(G_{3}\\)","authors":"M. Elzawy","doi":"10.1186/s42787-021-00113-y","DOIUrl":null,"url":null,"abstract":"In this article Hasimoto surfaces in Galilean space $$G_{3}$$ will be considered, Gauss curvature (K) and Mean curvature (H) of Hasimoto surfaces $$\\chi =\\chi (s,t)$$ will be investigated, some characterization of s-curves and t-curves of Hasimoto surfaces in Galilean space $$G_{3}$$ will be introduced. Example of Hasimoto surfaces will be illustrated.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"309 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Hasimoto surfaces in Galilean space \\\\(G_{3}\\\\)\",\"authors\":\"M. Elzawy\",\"doi\":\"10.1186/s42787-021-00113-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article Hasimoto surfaces in Galilean space $$G_{3}$$ will be considered, Gauss curvature (K) and Mean curvature (H) of Hasimoto surfaces $$\\\\chi =\\\\chi (s,t)$$ will be investigated, some characterization of s-curves and t-curves of Hasimoto surfaces in Galilean space $$G_{3}$$ will be introduced. Example of Hasimoto surfaces will be illustrated.\",\"PeriodicalId\":33345,\"journal\":{\"name\":\"Journal of the Egyptian Mathematical Society\",\"volume\":\"309 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-02-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Egyptian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1186/s42787-021-00113-y\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Egyptian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1186/s42787-021-00113-y","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this article Hasimoto surfaces in Galilean space $$G_{3}$$ will be considered, Gauss curvature (K) and Mean curvature (H) of Hasimoto surfaces $$\chi =\chi (s,t)$$ will be investigated, some characterization of s-curves and t-curves of Hasimoto surfaces in Galilean space $$G_{3}$$ will be introduced. Example of Hasimoto surfaces will be illustrated.