{"title":"Magnetic vector fields: New examples","authors":"J. Inoguchi, M. Munteanu","doi":"10.2298/PIM1817091I","DOIUrl":null,"url":null,"abstract":"In a previous paper, we introduced the notion of magnetic vector fields. More \n precisely, we consider a vector field ξ as a map from a Riemannian manifold \n into its tangent bundle endowed with the usual almost Kahlerian structure \n and we find necessary and sufficient conditions for ξ to be a magnetic map \n with respect to ξ itself and the Kahler 2-form. In this paper we give new \n examples of magnetic vector fields.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publications De L'institut Mathematique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/PIM1817091I","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In a previous paper, we introduced the notion of magnetic vector fields. More
precisely, we consider a vector field ξ as a map from a Riemannian manifold
into its tangent bundle endowed with the usual almost Kahlerian structure
and we find necessary and sufficient conditions for ξ to be a magnetic map
with respect to ξ itself and the Kahler 2-form. In this paper we give new
examples of magnetic vector fields.
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