8 papers
From Calabi's extremal metrics to scalar-flat Kähler cones
Vestislav Apostolov, Abdellah Lahdili, Chung-Ming Pan
We prove that for any smooth polarized complex -dimensional manifold which admits an extremal Kähler metric in , and for any integer large enough (in t…
Pluriclosed 3-folds with vanishing Bismut Ricci form: General theory in the quasi-regular case
Vestislav Apostolov, Abdellah Lahdili, Kuan-Hui Lee
We study compact complex -dimensional non-Kähler Bismut Ricci flat pluriclosed Hermitian manifolds (BHE) via their dimensional reduction to a special Kähler geometry in comple…
Weighted cscK metric (II): the continuity method
Eleonora Di Nezza, Simon Jubert, Abdellah Lahdili
In this paper we investigate the existence of metrics with weighted constant scalar curvature (wcscK for short) on a compact Kähler manifold : this notion include constant scal…
The CR Yamabe invariant and constant scalar curvature Sasaki metrics
Abdellah Lahdili, Eveline Legendre, Carlo Scarpa
We propose a new approach to the existence of constant transversal scalar curvature Sasaki structures drawing on ideas and tools from the CR Yamabe problem, establishing a link bet…
From Kähler Ricci solitons to Calabi-Yau Kähler cones
Vestislav Apostolov, Abdellah Lahdili, Eveline Legendre
We show that if is a smooth Fano manifold which caries a Kähler Ricci soliton, then the canonical cone of the product of with a complex projective space of sufficiently la…
Mabuchi Kähler solitons versus extremal Kähler metrics and beyond
Vestislav Apostolov, Abdellah Lahdili, Yasufumi Nitta
Using the Yau-Tian-Donaldson type correspondence for -solitons established by Han-Li, we show that a smooth complex -dimensional Fano variety admits a Mabuchi soliton provide…