Carlos M. C. Riveros, A. M. Vasquez Corro, Edwin O. Salinas Reyes
{"title":"Hypersurfaces with radial mean curvature in space forms","authors":"Carlos M. C. Riveros, A. M. Vasquez Corro, Edwin O. Salinas Reyes","doi":"10.5216/nm.v4.70251","DOIUrl":null,"url":null,"abstract":"In this paper, we study two classes of hypersurfaces, namely, the DRMC-hypersurfaces and the HDRMC-hypersurfaces in space forms Mn+1(c), c=−1,0,1, these classes include the Weingarten hypersurfaces of the spherical type obtained in |10|. For n= 2, we present a way to obtain DRMC-surfaces and HDRMC-surfaces in M3(c) using two holomorphic functions. Also, we classify the DRMC-hypersurfaces of rotation in Mn+1(c) and the HDRMC-hypersurfaces of rotation in Rn+1.","PeriodicalId":274755,"journal":{"name":"NEXUS Mathematicæ","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"NEXUS Mathematicæ","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5216/nm.v4.70251","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we study two classes of hypersurfaces, namely, the DRMC-hypersurfaces and the HDRMC-hypersurfaces in space forms Mn+1(c), c=−1,0,1, these classes include the Weingarten hypersurfaces of the spherical type obtained in |10|. For n= 2, we present a way to obtain DRMC-surfaces and HDRMC-surfaces in M3(c) using two holomorphic functions. Also, we classify the DRMC-hypersurfaces of rotation in Mn+1(c) and the HDRMC-hypersurfaces of rotation in Rn+1.
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