{"title":"共圆曲率张量上几乎Kenmotsu (κ,μ,ν)-空间的几个重要性质","authors":"Tuğba Mert, M. Atc̣eken","doi":"10.33401/fujma.1191851","DOIUrl":null,"url":null,"abstract":"In this article, pseudoparallel submanifolds for almost Kenmotsu (κ,μ,ν)-space are investigated. The almost Kenmotsu (κ,μ,ν)-space is considered on the concircular curvature tensor. Submanifolds of these manifolds with properties such as concircular pseudoparallel, concircular 2-pseudoparallel, concircular Ricci generalized pseudoparallel, and concircular 2-Ricci generalized pseudoparallel has been characterized. Necessary and sufficient conditions are given for the invariant submanifolds of almost Kenmotsu (κ,μ,ν)-space to be total geodesic according to the behavior of the κ,μ,ν functions.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Some Important Properties of Almost Kenmotsu (κ,μ,ν)-Space on the Concircular Curvature Tensor\",\"authors\":\"Tuğba Mert, M. Atc̣eken\",\"doi\":\"10.33401/fujma.1191851\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, pseudoparallel submanifolds for almost Kenmotsu (κ,μ,ν)-space are investigated. The almost Kenmotsu (κ,μ,ν)-space is considered on the concircular curvature tensor. Submanifolds of these manifolds with properties such as concircular pseudoparallel, concircular 2-pseudoparallel, concircular Ricci generalized pseudoparallel, and concircular 2-Ricci generalized pseudoparallel has been characterized. Necessary and sufficient conditions are given for the invariant submanifolds of almost Kenmotsu (κ,μ,ν)-space to be total geodesic according to the behavior of the κ,μ,ν functions.\",\"PeriodicalId\":199091,\"journal\":{\"name\":\"Fundamental Journal of Mathematics and Applications\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fundamental Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33401/fujma.1191851\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fundamental Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33401/fujma.1191851","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some Important Properties of Almost Kenmotsu (κ,μ,ν)-Space on the Concircular Curvature Tensor
In this article, pseudoparallel submanifolds for almost Kenmotsu (κ,μ,ν)-space are investigated. The almost Kenmotsu (κ,μ,ν)-space is considered on the concircular curvature tensor. Submanifolds of these manifolds with properties such as concircular pseudoparallel, concircular 2-pseudoparallel, concircular Ricci generalized pseudoparallel, and concircular 2-Ricci generalized pseudoparallel has been characterized. Necessary and sufficient conditions are given for the invariant submanifolds of almost Kenmotsu (κ,μ,ν)-space to be total geodesic according to the behavior of the κ,μ,ν functions.