{"title":"爱因斯坦接触度量流形与纯横向巴赫张量","authors":"Amalendu Ghosh","doi":"10.4064/AP201007-18-2","DOIUrl":null,"url":null,"abstract":". We prove that every ( 2 n +1 )-dimensional η -Einstein contact metric manifold (i.e., the Ricci tensor S satisfies S = αg + βη ⊗ η for some smooth functions α, β ) with purely transversal Bach tensor is Einstein.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"$\\\\eta $-Einstein contact metric manifolds with\\npurely transversal Bach tensor\",\"authors\":\"Amalendu Ghosh\",\"doi\":\"10.4064/AP201007-18-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We prove that every ( 2 n +1 )-dimensional η -Einstein contact metric manifold (i.e., the Ricci tensor S satisfies S = αg + βη ⊗ η for some smooth functions α, β ) with purely transversal Bach tensor is Einstein.\",\"PeriodicalId\":55513,\"journal\":{\"name\":\"Annales Polonici Mathematici\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Polonici Mathematici\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4064/AP201007-18-2\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Polonici Mathematici","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4064/AP201007-18-2","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
$\eta $-Einstein contact metric manifolds with
purely transversal Bach tensor
. We prove that every ( 2 n +1 )-dimensional η -Einstein contact metric manifold (i.e., the Ricci tensor S satisfies S = αg + βη ⊗ η for some smooth functions α, β ) with purely transversal Bach tensor is Einstein.
期刊介绍：
Annales Polonici Mathematici is a continuation of Annales de la Société Polonaise de Mathématique (vols. I–XXV) founded in 1921 by Stanisław Zaremba.
The journal publishes papers in Mathematical Analysis and Geometry. Each volume appears in three issues.
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