Stability of Sasaki-Extremal Metrics under Complex Deformations
Stability of Sasaki-Extremal Metrics under Complex Deformations
We consider the stability of Sasaki-extremal metrics under deformations of the complex structure on the Reeb foliation. Given such a deformation preserving the action of a compact subgroup of the automorphism group of a Sasaki-extremal structure, a sufficient condition is given involving the nondegeneracy of the relative Futaki invariant for …