{"title":"A note on Csi-ξ⊥-Riemannian submersions from Kenmotsu manifolds","authors":"S. Kumar, R. Prasad","doi":"10.31926/but.mif.2022.2.64.2.11","DOIUrl":null,"url":null,"abstract":"The object of this article is to define and study the Clairaut semi-invariant ξ⊥ -Riemannian submersions (Csi-ξ⊥ -Riemannian submersions, In short) from Kenmotsu manifolds onto Riemannian manifolds. We obtain necessary and sufficient condition for a semi-invariant ξ⊥-Riemannian submersion to be Csi-ξ⊥-Riemannian submersion. We also work out on some fundamental differential geometric properties of these submersions. Moreover, we present consequent non-trivial example of such submersion.","PeriodicalId":53266,"journal":{"name":"Bulletin of the Transilvania University of Brasov Series V Economic Sciences","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Transilvania University of Brasov Series V Economic Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2022.2.64.2.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The object of this article is to define and study the Clairaut semi-invariant ξ⊥ -Riemannian submersions (Csi-ξ⊥ -Riemannian submersions, In short) from Kenmotsu manifolds onto Riemannian manifolds. We obtain necessary and sufficient condition for a semi-invariant ξ⊥-Riemannian submersion to be Csi-ξ⊥-Riemannian submersion. We also work out on some fundamental differential geometric properties of these submersions. Moreover, we present consequent non-trivial example of such submersion.