paper

On weighted extremal Kähler metrics

arXiv:2605.08796

Abstract

The notion of weighted extremal Kähler metrics extends the classical notion of Calabi's extremal Kähler metrics, but includes many well-studied objects in Kähler geometry such as Kähler-Ricci solitons and Sasaki-Einstein metrics. In this paper, after explaining how this notion grew out, we will try to survey recent works concerning the YTD conjecture on weighted extremal Kähler metrics.

Submitted to the Proceedings of ICCM 2025

On weighted extremal Kähler metrics · wovepaper