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hep-th2024
Pure connection formalism and Plebanski's second heavenly equation
Kirill Krasnov, Arthur Lipstein
Plebanski's second heavenly equation reduces the problem of finding a self-dual Einstein metric to solving a non-linear second-order PDE for a single function. Plebanski's original…
gr-qc2024
Kerr metric from two commuting complex structures
Kirill Krasnov, Adam Shaw
The main aim of this paper is to simplify and popularise the construction from the 2013 paper by Apostolov, Calderbank, and Gauduchon, which (among other things) derives the Pleban…
math.DG2024★ 1 cited
Dynamics of Cayley Forms
Kirill Krasnov
The most natural first-order PDEs to be imposed on a Cayley 4-form in eight dimensions is the condition that it is closed. In this work, we investigate the natural second-order con…