3 papers
math.DG2026
Geodesics for generalised Monge-Ampère equations
Gao Chen, Kartick Ghosh, Sijie Nie
Xiuxiong Chen proved the existence of geodesics in the space of Kähler potentials and the convexity of the -functional along geodesics. Analogous…
math.DG2026
On The Ellipticity of Generalised Monge-Ampère Equations on Vector Bundles
Gao Chen, Kartick Ghosh
In this paper, we study the ellipticity of the vector bundle versions of the Monge-Ampère, , dHYM and -equations at a point. These are nonlinear geometric partial differe…
math.DG2024
A formula for the α-Futaki character
Kartick Ghosh
Alvarez-Consul--Garcia-Fernandez--Garcia-Prada introduced the Kähler-Yang-Mills equations. They also introduced the -Futaki character, an analog of the Futaki invariant, as an o…