111 citations · 376 across the 46 of their papers we have counts for
53 papers
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…
Toric geometry of generalized Kähler-Ricci solitons
Vestislav Apostolov, Giuseppe Barbaro, Jeffrey Streets +1
We establish a local equivalence between toric steady Kähler-Ricci solitons and -type toric generalized Kähler-Ricci solitons (GKRS). Under natural global conditions we show thi…
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 lar…