{"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":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.5000,"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\":45637,\"journal\":{\"name\":\"Communications of the Korean Mathematical Society\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications of the Korean Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4134/CKMS.C200091\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications of the Korean Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4134/CKMS.C200091","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","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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This journal endeavors to publish significant research and survey of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of four issues (January, April, July, October).
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