3 papers
math.DG2026
Uniqueness for the Kähler-Yang-Mills equations
Vamsi Pritham Pingali, Chengjian Yao
A formula for the -K-energy functional for the Kähler-Yang-Mills (KYM) equations is provided in this paper. Using this formula and Chen's -geodesic equation on the space of K…
math.DG2024
Gravitating vortices and Symplectic Reduction by Stages
L. Álvarez-Cónsul, M. Garcia-Fernandez, O. García-Prada +2
We undertake a novel approach to the existence problem for gravitating vortices on a Riemann surface based on symplectic reduction by stages, which seems to be new in the PDE as we…
math.AP2022
Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface
Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada +2
In this note we present an obstruction to the existence of solutions to the self-dual Einstein-Maxwell-Higgs equations on a compact surface, which depends on the multiplicities of…