S. Girish Babu, R. Rajendra, P. Siva Kota Reddy, N. Pavani
{"title":"(ϵ)-Kenmotsu manifold admitting Schouten-van Kampen connection","authors":"S. Girish Babu, R. Rajendra, P. Siva Kota Reddy, N. Pavani","doi":"10.59400/jam.v1i2.113","DOIUrl":null,"url":null,"abstract":"The objective of this paper is to study some properties of quasi-conformal and concircular tensor on (ϵ)-Kenmotsu manifold admitting the Schouten-van Kampen connection. Expressions of the curvature tensor, Ricci tensor and scalar curvature admitting Schouten-van Kampen connection have been obtained. Locally symmetric -Kenmotsu manifold admitting Schouten-van Kampen connection and quasicon formally flat as well as quasi-conformally semisymmetric -Kenmotsu manifolds admitting Schouten-van Kampen connection are studied.","PeriodicalId":495855,"journal":{"name":"Journal of AppliedMath","volume":"2016 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of AppliedMath","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.59400/jam.v1i2.113","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
The objective of this paper is to study some properties of quasi-conformal and concircular tensor on (ϵ)-Kenmotsu manifold admitting the Schouten-van Kampen connection. Expressions of the curvature tensor, Ricci tensor and scalar curvature admitting Schouten-van Kampen connection have been obtained. Locally symmetric -Kenmotsu manifold admitting Schouten-van Kampen connection and quasicon formally flat as well as quasi-conformally semisymmetric -Kenmotsu manifolds admitting Schouten-van Kampen connection are studied.