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math.DG2022
Webs, Nijenhuis operators, and heavenly PDEs
Andriy Panasyuk, Adam Szereszewski
In 1989 Mason and Newman proved that there is a 1-1-correspondence between self-dual metrics satisfying Einstein vacuum equation (in complex case or in neutral signature) and pairs…
math.DG2018★ 2 cited
Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system
W. K. Schief, A. Szereszewski
We present the first steps of a procedure which discretises surface theory in classical projective differential geometry in such a manner that underlying integrable structure is pr…