{"title":"Kenmotsu度量空间上的一些曲率表征","authors":"Pakize Uygun, S. Dirik, M. Atc̣eken","doi":"10.56947/gjom.v13i2.812","DOIUrl":null,"url":null,"abstract":"\n \n \nThe purpose of this study is to characterize Kenmotsu manifolds that satisfy specific curvature conditions. We give the Kenmotsu manifold curvature tensors satisfying the conditions RW5 = 0, RW7 = 0, RW9 = 0 and φ-RW0* = 0. Also we consider a W0*-flat and a φ-W0*-flat Kenmotsu metric manifolds. As a result, M is an η-Einstein Kenmotsu metric manifold. \n \n \n","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some curvature characterizations on Kenmotsu metric spaces\",\"authors\":\"Pakize Uygun, S. Dirik, M. Atc̣eken\",\"doi\":\"10.56947/gjom.v13i2.812\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n \\n \\nThe purpose of this study is to characterize Kenmotsu manifolds that satisfy specific curvature conditions. We give the Kenmotsu manifold curvature tensors satisfying the conditions RW5 = 0, RW7 = 0, RW9 = 0 and φ-RW0* = 0. Also we consider a W0*-flat and a φ-W0*-flat Kenmotsu metric manifolds. As a result, M is an η-Einstein Kenmotsu metric manifold. \\n \\n \\n\",\"PeriodicalId\":421614,\"journal\":{\"name\":\"Gulf Journal of Mathematics\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gulf Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/gjom.v13i2.812\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gulf Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/gjom.v13i2.812","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some curvature characterizations on Kenmotsu metric spaces
The purpose of this study is to characterize Kenmotsu manifolds that satisfy specific curvature conditions. We give the Kenmotsu manifold curvature tensors satisfying the conditions RW5 = 0, RW7 = 0, RW9 = 0 and φ-RW0* = 0. Also we consider a W0*-flat and a φ-W0*-flat Kenmotsu metric manifolds. As a result, M is an η-Einstein Kenmotsu metric manifold.
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