{"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}
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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.
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