Yaxiong Liu — Neckpinchhttps://neckpinch.com/authors/yaxiong-liu/New arXiv papers by Yaxiong Liu, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT On the Existence of Weighted-cscK Metricshttps://neckpinch.com/papers/2406.10939/arxiv:2406.10939Sun, 16 Jun 2024 00:00:00 GMTJiyuan Han, Yaxiong Liu — In this paper, we prove that on a smooth Kähler manifold, the G-coercivity of the weighted Mabuchi functional implies the existence of the (v, w)-weighted-cscK (extremal) metric with v log-concave (firstly studied in), e.g, cscK metrics, Kähler-Ricci solitons, μ-cscK metrics.Ricci solitonsKähler–Ricci solitonsKähler geometryKähler–Einstein & K-stability