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math.DG2001
Selfdual Einstein metrics with torus symmetry
David M. J. Calderbank, Henrik Pedersen
It is well known that any 4-dimensional hyperkahler metric with two commuting Killing fields may be obtained explicitly, via the Gibbons-Hawking Ansatz, from a harmonic function in…
math.DG2001
The geometry of weakly selfdual Kahler surfaces
Vestislav Apostolov, David M. J. Calderbank, Paul Gauduchon
We study Kahler surfaces with harmonic anti-selfdual Weyl tensor. We provide an explicit local description, which we use to obtain the complete classification in the compact case.…