111 citations · 376 across the 46 of their papers we have counts for
3 papers · 2 filters
From locally conformally Kähler to bi-Hermitian structures on non-Kähler complex surfaces
Vestislav Apostolov, Michael Bailey, Georges Dloussky
We prove that locally conformally Kähler metrics on certain compact complex surfaces with odd first Betti number can be deformed to new examples of bi-Hermitian metrics.
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…
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…