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math.DG2013
Ambitoric geometry II: Extremal toric surfaces and Einstein 4-orbifolds
Vestislav Apostolov, David M. J. Calderbank, Paul Gauduchon
We provide an explicit resolution of the existence problem for extremal Kaehler metrics on toric 4-orbifolds M with second Betti number b2(M)=2. More precisely we show that M admit…
math.DG2013★ 13 cited
Ambitoric geometry I: Einstein metrics and extremal ambikaehler structures
Vestislav Apostolov, David M. J. Calderbank, Paul Gauduchon
We present a local classification of conformally equivalent but oppositely oriented 4-dimensional Kaehler metrics which are toric with respect to a common 2-torus action. In the ge…