Abstract
In this paper we re-visit the standard principle that if a geometric nonlinear PDE problem is set up in the moment map picture then the existence of the solution to the PDE should be related to GIT stability in algebraic geometry. We also take up Kähler metrics with constant Cahen–Gutt moment map and an extension of conformally Kähler, Einstein-Maxwell metrics.
Information
Published: 1 January 2020
First available in Project Euclid: 29 December 2020
Digital Object Identifier: 10.2969/aspm/08510105
Subjects:
Primary:
53C55
Secondary:
53C21
,
55N91
Keywords:
Einstein-Maxwell equation
,
moment map
,
Scalar curvature
,
star product
Rights: Copyright © 2020 Mathematical Society of Japan
