{"title":"近Kahler流形共圆曲率张量的几何","authors":"","doi":"10.25130/tjps.v20i4.1226","DOIUrl":null,"url":null,"abstract":"In this paper, we study the necessary condition where a nearly Kahler manifold of flat concircular tensor has been found. And the relationship between these invariants and additional properties of symmetry concircular tensor, as well as geometrical sense of the reference (manipulation) in zero of these invariants are studied. \nLet M - smooth manifold of dimension 2n; - algebra of smooth functions on M; - the module of smooth vector fields on manifold of M; g = <·, > - Riemannian metrics; Ñ – Riemannian connection of the metrics g on M; d - the operator of exterior differentiation. In the further all manifold, Tensor fields, etc. objects are assumed smooth a class .","PeriodicalId":23142,"journal":{"name":"Tikrit Journal of Pure Science","volume":"33 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Geometry of concircular curvature tensor of Nearly Kahler manifold\",\"authors\":\"\",\"doi\":\"10.25130/tjps.v20i4.1226\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the necessary condition where a nearly Kahler manifold of flat concircular tensor has been found. And the relationship between these invariants and additional properties of symmetry concircular tensor, as well as geometrical sense of the reference (manipulation) in zero of these invariants are studied. \\nLet M - smooth manifold of dimension 2n; - algebra of smooth functions on M; - the module of smooth vector fields on manifold of M; g = <·, > - Riemannian metrics; Ñ – Riemannian connection of the metrics g on M; d - the operator of exterior differentiation. In the further all manifold, Tensor fields, etc. objects are assumed smooth a class .\",\"PeriodicalId\":23142,\"journal\":{\"name\":\"Tikrit Journal of Pure Science\",\"volume\":\"33 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-02-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tikrit Journal of Pure Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.25130/tjps.v20i4.1226\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tikrit Journal of Pure Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.25130/tjps.v20i4.1226","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Geometry of concircular curvature tensor of Nearly Kahler manifold
In this paper, we study the necessary condition where a nearly Kahler manifold of flat concircular tensor has been found. And the relationship between these invariants and additional properties of symmetry concircular tensor, as well as geometrical sense of the reference (manipulation) in zero of these invariants are studied.
Let M - smooth manifold of dimension 2n; - algebra of smooth functions on M; - the module of smooth vector fields on manifold of M; g = <·, > - Riemannian metrics; Ñ – Riemannian connection of the metrics g on M; d - the operator of exterior differentiation. In the further all manifold, Tensor fields, etc. objects are assumed smooth a class .