Weighted K–stability and coercivity with applications to extremal Kähler and Sasaki metrics
Weighted K–stability and coercivity with applications to extremal Kähler and Sasaki metrics
We show that a compact weighted extremal Kähler manifold, as defined by the third author (2019), has coercive weighted Mabuchi energy with respect to a maximal complex torus T C in the reduced group of complex automorphisms.This provides a vast extension and a unification of a number of results concerning …