{"title":"关于爱因斯坦型几乎剑木流形","authors":"H. Kumara, M. M. Praveena, D. Naik","doi":"10.1515/anly-2022-1058","DOIUrl":null,"url":null,"abstract":"Abstract First, we consider a non-trivial Einstein-type equation on a Kenmotsu manifold M and show that either M is Einstein or the potential function is pointwise collinear with ξ on an open set 𝒰 {\\mathcal{U}} of M. Finally, we study an Einstein-type equation on an almost Kenmotsu ( κ , μ ) ′ {(\\kappa,\\mu)^{\\prime}} -manifold.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"20 1","pages":"141 - 147"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Einstein-type almost Kenmotsu manifolds\",\"authors\":\"H. Kumara, M. M. Praveena, D. Naik\",\"doi\":\"10.1515/anly-2022-1058\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract First, we consider a non-trivial Einstein-type equation on a Kenmotsu manifold M and show that either M is Einstein or the potential function is pointwise collinear with ξ on an open set 𝒰 {\\\\mathcal{U}} of M. Finally, we study an Einstein-type equation on an almost Kenmotsu ( κ , μ ) ′ {(\\\\kappa,\\\\mu)^{\\\\prime}} -manifold.\",\"PeriodicalId\":82310,\"journal\":{\"name\":\"Philosophic research and analysis\",\"volume\":\"20 1\",\"pages\":\"141 - 147\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Philosophic research and analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/anly-2022-1058\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophic research and analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/anly-2022-1058","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Abstract First, we consider a non-trivial Einstein-type equation on a Kenmotsu manifold M and show that either M is Einstein or the potential function is pointwise collinear with ξ on an open set 𝒰 {\mathcal{U}} of M. Finally, we study an Einstein-type equation on an almost Kenmotsu ( κ , μ ) ′ {(\kappa,\mu)^{\prime}} -manifold.
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