Extremal Sasaki manifolds and weighted K-stability

Abstract

We remove the log-concavity assumption on the weight in the analytic weighted Yau--Tian--Donaldson correspondence established in [arXiv:2406.10939, arXiv:2407.09929, arXiv:2503.22183] and discuss applications to Sasaki and conformally Kähler Einstein--Maxwell geometries.

arXiv comment30 pages