{"title":"自相似表面的研究","authors":"Mustafa Altın, M. Karadag, H. Karadağ","doi":"10.22436/MNS.04.01.04","DOIUrl":null,"url":null,"abstract":"In this paper, we study the self-similar surfaces in 4-dimensional Euclidean space E4. We give an if and only if condition for a generalized rotational surfaces in E4 to be self-similar. In addition we examine self-similarity of some special surfaces in E4. Furthermore we investigate the self-similar condition of Tensor Product surfaces and Meridian surfaces in E4.","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"705 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A study on self-similar surfaces\",\"authors\":\"Mustafa Altın, M. Karadag, H. Karadağ\",\"doi\":\"10.22436/MNS.04.01.04\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the self-similar surfaces in 4-dimensional Euclidean space E4. We give an if and only if condition for a generalized rotational surfaces in E4 to be self-similar. In addition we examine self-similarity of some special surfaces in E4. Furthermore we investigate the self-similar condition of Tensor Product surfaces and Meridian surfaces in E4.\",\"PeriodicalId\":443718,\"journal\":{\"name\":\"Mathematics in Natural Science\",\"volume\":\"705 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics in Natural Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22436/MNS.04.01.04\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics in Natural Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/MNS.04.01.04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we study the self-similar surfaces in 4-dimensional Euclidean space E4. We give an if and only if condition for a generalized rotational surfaces in E4 to be self-similar. In addition we examine self-similarity of some special surfaces in E4. Furthermore we investigate the self-similar condition of Tensor Product surfaces and Meridian surfaces in E4.
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