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Lift of noninvariant solutions of heavenly equations from three to four dimensions and new ultra-hyperbolic metrics

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 نشر من قبل Mikhail Sheftel
 تاريخ النشر 2007
  مجال البحث فيزياء
والبحث باللغة English
 تأليف A. A. Malykh




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We demonstrate that partner symmetries provide a lift of noninvariant solutions of three-dimensional Boyer-Finley equation to noninvariant solutions of four-dimensional hyperbolic complex Monge-Ampere equation. The lift is applied to noninvariant solutions of the Boyer-Finley equation, obtained earlier by the method of group foliation, to yield noninvariant solutions of the hyperbolic complex Monge-Ampere equation. Using these solutions we construct new Ricci-flat ultra-hyperbolic metrics with non-zero curvature tensor that have no Killing vectors.



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