111 citations · 376 across the 46 of their papers we have counts for
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A gluing construction of -extremal Kähler metrics and new examples of Bismut Hermitian-Einstein -folds
Vestislav Apostolov, Abdellah Lahdili, Kuan-Hui Lee +1
We present a gluing construction for a class of 6th order geometric non-linear PDE's on a Kähler manifold or orbifold, arising in the study of Bismut Hermitian Einstein complex …
Poisson K-stability and the semiclassical Yau--Tian--Donaldson correspondence
Vestislav Apostolov, Brent Pym, Jeffrey Streets
We introduce a notion of K-polystability for compact Kähler holomorphic Poisson manifolds. On the one hand, this notion of stability is well-adapted to constructions of moduli spac…
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 te…
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 complex…