{"title":"On Quasi-Minimal Isometric Immersions into Non-Flat Semi Riemannian Space Forms of Index Two","authors":"N. Turgay, Alev Kelleci, R. Şen, E. O. Canfes","doi":"10.7546/GIQ-20-2019-255-265","DOIUrl":null,"url":null,"abstract":"In this paper, first we gave a summary of recent results on biconservative immersions. Then, we obtained a necessary and sufficient condition for the existence of biconservative quasi-minimal immersions into a four dimensional semi-Riemannian space form of index two with non-zero sectional curvatures. We also constructed an explicit example of biconservative quasiminimal surface. MSC : 53D12, 53C40, 53C42","PeriodicalId":53425,"journal":{"name":"Geometry, Integrability and Quantization","volume":"211 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geometry, Integrability and Quantization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/GIQ-20-2019-255-265","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
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Abstract
In this paper, first we gave a summary of recent results on biconservative immersions. Then, we obtained a necessary and sufficient condition for the existence of biconservative quasi-minimal immersions into a four dimensional semi-Riemannian space form of index two with non-zero sectional curvatures. We also constructed an explicit example of biconservative quasiminimal surface. MSC : 53D12, 53C40, 53C42
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