{"title":"关于Kenmotsu流形的Csi-ξ⊥黎曼浸入的一个注记","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":"{\"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}","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}
A note on Csi-ξ⊥-Riemannian submersions from Kenmotsu manifolds
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.