{"title":"几乎霍奇a流形基上主环面束上的a流形","authors":"G. Zborowski","doi":"10.17951/A.2015.69.1.109","DOIUrl":null,"url":null,"abstract":"An A-manifold is a manifold whose Ricci tensor is cyclic-parallel, equivalently it satisfies ∇ X Ric(X, X) = 0. This condition generalizes the Einstein condition. We construct new examples of A-manifolds on r-torus bundles over a base which is a product of almost Hodge A-manifolds.","PeriodicalId":340819,"journal":{"name":"Annales Umcs, Mathematica","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A-manifolds on a principal torus bundle over an almost Hodge A-manifold base\",\"authors\":\"G. Zborowski\",\"doi\":\"10.17951/A.2015.69.1.109\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An A-manifold is a manifold whose Ricci tensor is cyclic-parallel, equivalently it satisfies ∇ X Ric(X, X) = 0. This condition generalizes the Einstein condition. We construct new examples of A-manifolds on r-torus bundles over a base which is a product of almost Hodge A-manifolds.\",\"PeriodicalId\":340819,\"journal\":{\"name\":\"Annales Umcs, Mathematica\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-11-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Umcs, Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17951/A.2015.69.1.109\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Umcs, Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17951/A.2015.69.1.109","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
a流形是里奇张量循环平行的流形，等价地满足∇X Ric(X, X) = 0。这个条件推广了爱因斯坦条件。我们在一个基上构造了r-环束上的a -流形的新例子，该基是几乎Hodge a -流形的乘积。
A-manifolds on a principal torus bundle over an almost Hodge A-manifold base
An A-manifold is a manifold whose Ricci tensor is cyclic-parallel, equivalently it satisfies ∇ X Ric(X, X) = 0. This condition generalizes the Einstein condition. We construct new examples of A-manifolds on r-torus bundles over a base which is a product of almost Hodge A-manifolds.
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