{"title":"Pseudoparallel Invariant Submanifolds of a Para-Sasakian Manifold","authors":"Tuğba Mert, M. Atc̣eken","doi":"10.47000/tjmcs.1124668","DOIUrl":null,"url":null,"abstract":"In this paper, invariant submanifolds of a para-Sasakian manifold are studied. For a para-Sasakian manifold, pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparalel cases are considered and new results are obtained. The necessary and sufficient are given for an invriant submanifold to be totally geodesic under the some conditions.","PeriodicalId":506513,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"33 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Turkish Journal of Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47000/tjmcs.1124668","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, invariant submanifolds of a para-Sasakian manifold are studied. For a para-Sasakian manifold, pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparalel cases are considered and new results are obtained. The necessary and sufficient are given for an invriant submanifold to be totally geodesic under the some conditions.