Work

On weighted extremal Kähler metrics

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.08796

Author: Futaki, Akito

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7160939001

Cites: 4

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Related to: 10