{"title":"欧几里得4空间中具有广义1型高斯映射的一般旋转曲面","authors":"M. Sagdic, N. Turgay, E. Kiliç","doi":"10.56947/gjom.v15i1.1383","DOIUrl":null,"url":null,"abstract":"In this paper, we consider rotational surfaces in the Euclidean 4-space E4 with the profile curve contained in a 2-plane. We obtain some classification results of such surfaces in terms of having generalized 1-type Gauss map.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"General rotational surfaces in Euclidean 4-space with generalized 1-type Gauss map\",\"authors\":\"M. Sagdic, N. Turgay, E. Kiliç\",\"doi\":\"10.56947/gjom.v15i1.1383\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider rotational surfaces in the Euclidean 4-space E4 with the profile curve contained in a 2-plane. We obtain some classification results of such surfaces in terms of having generalized 1-type Gauss map.\",\"PeriodicalId\":421614,\"journal\":{\"name\":\"Gulf Journal of Mathematics\",\"volume\":\"48 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-08-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gulf Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/gjom.v15i1.1383\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gulf Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/gjom.v15i1.1383","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
General rotational surfaces in Euclidean 4-space with generalized 1-type Gauss map
In this paper, we consider rotational surfaces in the Euclidean 4-space E4 with the profile curve contained in a 2-plane. We obtain some classification results of such surfaces in terms of having generalized 1-type Gauss map.
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