On weighted extremal K\"ahler metrics
Differential Geometry
2026-05-12 v1 Complex Variables
Abstract
The notion of weighted extremal K\"ahler metrics extends the classical notion of Calabi's extremal K\"ahler metrics, but includes many well-studied objects in K\"ahler geometry such as K\"ahler-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 K\"ahler metrics.
Keywords
Cite
@article{arxiv.2605.08796,
title = {On weighted extremal K\"ahler metrics},
author = {Akito Futaki},
journal= {arXiv preprint arXiv:2605.08796},
year = {2026}
}
Comments
Submitted to the Proceedings of ICCM 2025