Lift of noninvariant solutions of heavenly equations from three to four dimensions and new ultra - hyperbolic metrics
نویسنده
چکیده
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 MongeAmpère 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 MongeAmpère equation. Using these solutions we construct new Ricci-flat ultra-hyperbolic metrics with non-zero curvature tensor that have no Killing vectors. PACS numbers: 04.20.Jb, 02.40.Ky AMS classification scheme numbers: 35Q75, 83C15
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5 M ay 2 00 7 Lift of noninvariant solutions of heavenly equations from three to four dimensions and new ultra - hyperbolic metrics
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 MongeAmpère 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 Mo...
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