{"title":"On Lie algebras associated with a spray","authors":"Manelo Anona, H. Ratovoarimanana","doi":"10.46298/cm.9007","DOIUrl":null,"url":null,"abstract":"The Lie algebra of infinitesimal isometries of a Riemannian manifold contains\nat most two commutative ideals. One coming from the horizontal nullity space of\nthe Nijenhuis tensor of the canonical connection, the other coming from the\nconstant vectors fields independent of the Riemannian metric.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/cm.9007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
Abstract
The Lie algebra of infinitesimal isometries of a Riemannian manifold contains
at most two commutative ideals. One coming from the horizontal nullity space of
the Nijenhuis tensor of the canonical connection, the other coming from the
constant vectors fields independent of the Riemannian metric.
期刊介绍：
Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.
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