{"title":"具有消失巴赫张量和无散度棉花张量的(k，≥0)-几乎CO-KÄHLER流形的分类","authors":"U. De, Arpan Sardar","doi":"10.4134/CKMS.C200091","DOIUrl":null,"url":null,"abstract":"The object of the present paper is to characterize Bach flat (k, μ)-almost co-Kähler manifolds. It is proved that a Bach flat (k, μ)almost co-Kähler manifold is K-almost co-Kähler manifold under certain restriction on μ and k. We also characterize (k, μ)-almost co-Kähler manifolds with divergence free Cotton tensor.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"CLASSIFICATION OF (k, 𝜇)-ALMOST CO-KÄHLER MANIFOLDS WITH VANISHING BACH TENSOR AND DIVERGENCE FREE COTTON TENSOR\",\"authors\":\"U. De, Arpan Sardar\",\"doi\":\"10.4134/CKMS.C200091\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The object of the present paper is to characterize Bach flat (k, μ)-almost co-Kähler manifolds. It is proved that a Bach flat (k, μ)almost co-Kähler manifold is K-almost co-Kähler manifold under certain restriction on μ and k. We also characterize (k, μ)-almost co-Kähler manifolds with divergence free Cotton tensor.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4134/CKMS.C200091\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4134/CKMS.C200091","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
CLASSIFICATION OF (k, 𝜇)-ALMOST CO-KÄHLER MANIFOLDS WITH VANISHING BACH TENSOR AND DIVERGENCE FREE COTTON TENSOR
The object of the present paper is to characterize Bach flat (k, μ)-almost co-Kähler manifolds. It is proved that a Bach flat (k, μ)almost co-Kähler manifold is K-almost co-Kähler manifold under certain restriction on μ and k. We also characterize (k, μ)-almost co-Kähler manifolds with divergence free Cotton tensor.
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