A Yau–Tian–Donaldson correspondence on a class of toric fibrations
A Yau–Tian–Donaldson correspondence on a class of toric fibrations
We establish a Yau–Tian–Donaldson type correspondence, expressed in terms of a single Delzant polytope, concerning the existence of extremal Kähler metrics on a large class of toric fibrations, introduced by Apostolov–Calderbank–Gauduchon–Tonnesen-Friedman and called semi-simple principal toric fibrations. We use that an extremal metric on the total space corresponds to a …