111 citations · 376 across the 46 of their papers we have counts for
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Extremal Kähler Poincaré type metrics on toric varieties
Vestislav Apostolov, Hugues Auvray, Lars Martin Sektnan
We develop a general theory for the existence of extremal Kähler metrics of Poincaré type in the sense of Auvray, defined on the complement of a toric divisor of a polarized toric…
Levi-Kahler reduction of CR structures, products of spheres, and toric geometry
Vestislav Apostolov, David M J Calderbank, Paul Gauduchon +1
We study CR geometry in arbitrary codimension, and introduce a process, which we call the Levi-Kahler quotient, for constructing Kahler metrics from CR structures with a transverse…
Toric contact geometry in arbitrary codimension
Vestislav Apostolov, David M J Calderbank, Paul Gauduchon +1
We define toric contact manifolds in arbitrary codimension and give a description of such manifolds in terms of a kind of labelled polytope embedded into a grassmannian, analogous…
The nondegenerate generalized Kähler Calabi-Yau problem
Vestislav Apostolov, Jeffrey Streets
We formulate a Calabi-Yau type conjecture in generalized Kähler geometry, focusing on the case of nondegenerate Poisson structure. After defining natural Hamiltonian deformation sp…
Relative K-polystability of projective bundles over a curve
Vestislav Apostolov, Julien Keller
Let be the projectivization of a holomorphic vector bundle over a compact complex curve . We characterize the existence of an extremal Kähler metric on the ruled mani…