{"title":"Generalizations of Bateman's transformation for general indefinite metrics","authors":"Katsunori Shimomura","doi":"10.5036/MJIU.45.7","DOIUrl":null,"url":null,"abstract":"Bateman’s transformation is associated with the Lorentzian metric and preserves solutions of the wave equation. We generalize Bateman’s transformation for general indefinite semi-euclidean metrics. Then we show that the generalized transformation preserves solutions of the equation associated with given indefinite metric.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"22 1","pages":"7-13"},"PeriodicalIF":0.0000,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Journal of Ibaraki University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5036/MJIU.45.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
Bateman’s transformation is associated with the Lorentzian metric and preserves solutions of the wave equation. We generalize Bateman’s transformation for general indefinite semi-euclidean metrics. Then we show that the generalized transformation preserves solutions of the equation associated with given indefinite metric.
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