{"title":"Almost quaternion structures of the second kind and almost tangent structures","authors":"K. Yano, Mitsue Ako","doi":"10.2996/KMJ/1138846724","DOIUrl":null,"url":null,"abstract":"is called an almost quaternion structure and a differentiate manifold with an almost quaternion structure an almost quaternion manifold. If there exists, in an almost quaternion manifold, a system of coordinate neighborhoods with respect to which components of F, G and H are all constant, then the almost quaternion structure is said to be integrable and the almost quaternion manifold is called a quaternion manifold. In a previous paper [8], the present authors studied integrability conditions for almost quaternion structures. A set of three tensor fields F, G and PI of type (1, 1) in a differentiate manifold which satisfy","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kodai Mathematical Seminar Reports","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2996/KMJ/1138846724","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 14
Abstract
is called an almost quaternion structure and a differentiate manifold with an almost quaternion structure an almost quaternion manifold. If there exists, in an almost quaternion manifold, a system of coordinate neighborhoods with respect to which components of F, G and H are all constant, then the almost quaternion structure is said to be integrable and the almost quaternion manifold is called a quaternion manifold. In a previous paper [8], the present authors studied integrability conditions for almost quaternion structures. A set of three tensor fields F, G and PI of type (1, 1) in a differentiate manifold which satisfy