Generalizations of Bateman's transformation for general indefinite metrics

• Shimomura Katsunori

  Ibaraki University

Bibliographic Information

Other Title

• Generalizations of Bateman^|^apos;s transformation for general indefinite metrics

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.

Journal

• Mathematical Journal of Ibaraki University

  Mathematical Journal of Ibaraki University 45 (0), 7-13, 2013

  Department of Mathematics, Faculty of Science, Ibaraki University

Keywords

• semi-euclidean
• wave equation
• Bateman's transformation

Details

• CRID: 1390001205273730688
• NII Article ID: 130004949011
• NII Book ID: AA11169155
• DOI: 10.5036/mjiu.45.7
• ISSN: 18834353
• ISSN: 13433636
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed