Mathematical Journal of Ibaraki University
Online ISSN : 1883-4353
Print ISSN : 1343-3636
ISSN-L : 1343-3636
Generalizations of Bateman's transformation for general indefinite metrics
Katsunori Shimomura
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2013 年 45 巻 p. 7-13

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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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© 2013 Department of Mathematics, Faculty of Science, Ibaraki University
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