2 papers
math.DG2024
Weighted cscK metric (I): a priori estimates
Eleonora Di Nezza, Simon Jubert, Abdellah Lahdili
Let be a compact Kähler manifold. In this paper we study the existence of constant weighted scalar curvature Kähler (weighted cscK) metrics on . More precisely, we establish…
math.DG2023
The Einstein-Hilbert functional and the Donaldson-Futaki invariant
Abdellah Lahdili, Eveline Legendre, Carlo Scarpa
Given a Kaehler manifold polarised by a holomorphic ample line bundle, we consider the circle bundle associated to the polarisation with the induced transversal holomorphic structu…