https://neckpinch.com/authors/king-leung-lee/New arXiv papers by King Leung Lee, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2208.03724/arxiv:2208.03724Sun, 07 Aug 2022 00:00:00 GMTKing Leung Lee, Jacob Sturm, Xiaowei Wang — The moment map μ is a central concept in the study of Hamiltonian actions of compact Lie groups K on symplectic manifolds. In this short note, we propose a theory of moment maps coupled with an Ad_K-invariant convex function f on k^(∗), the dual of Lie algebra of K, and study the properties of the critical point of f∘μ. Our motivation comes from Donaldson which is an example of infinite dimensional version of our setting. As an application, we interpret Kähler-Ricci solitons as a special case of the generalized extremal metric.Ricci solitonsKähler–Ricci solitonsKähler geometryHomogeneous spacesKähler–Einstein & K-stability