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math-ph2003
Method of group foliation, hodograph transformation and non-invariant solutions of the Boyer-Finley equation
M. B. Sheftel
We present the method of group foliation for constructing non-invariant solutions of partial differential equations on an important example of the Boyer-Finley equation from the th…
math-ph2003
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…
gr-qc2003
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…