Smooth toric Kähler surfaces with a torus-invariant self-dual twistor 2-form fall into exactly six explicit local families: product-toric, Calabi-toric, orthotoric, elliptic, parabolic, and hyperbolic.
New black holes in D = 5 minimal gauged supergravity: Deformed boundaries and frozen horizons
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All toric Kahler surfaces with twistor 2-forms
Smooth toric Kähler surfaces with a torus-invariant self-dual twistor 2-form fall into exactly six explicit local families: product-toric, Calabi-toric, orthotoric, elliptic, parabolic, and hyperbolic.