13 citations · 13 across the 1 of their papers we have counts for
4 papers
Lift of noninvariant solutions of heavenly equations from three to four dimensions and new ultra-hyperbolic metrics
A. A. Malykh, Y. Nutku, M. B. Sheftel
We demonstrate that partner symmetries provide a lift of noninvariant solutions of three-dimensional Boyer-Finley equation to noninvariant solutions of four-dimensional hyperbolic…
Partner symmetries and non-invariant solutions of four-dimensional heavenly equations
A A Malykh, Y Nutku, M B Sheftel
We extend our method of partner symmetries to the hyperbolic complex Monge-Ampère equation and the second heavenly equation of Plebañski. We show the existence of partner symmetrie…
Partner symmetries of the complex Monge-Ampere equation yield hyper-Kahler metrics without continuous symmetries
A. A. Malykh, Y. Nutku, M. B. Sheftel
We extend the Mason-Newman Lax pair for the elliptic complex Monge-Ampère equation so that this equation itself emerges as an algebraic consequence. We regard the function in the e…
Anti-self-dual Riemannian metrics without Killing vectors, can they be realized on K3?
A. A. Malykh, Y. Nutku, M. B. Sheftel
Explicit Riemannian metrics with Euclidean signature and anti-self dual curvature that do not admit any Killing vectors are presented. The metric and the Riemann curvature scalars…