8 citations · 12 across the 4 of their papers we have counts for
10 papers · 1 filter
Hamiltonian 2-forms in Kahler geometry, III Compact examples
Vestislav Apostolov, David M. J. Calderbank, Paul Gauduchon +1
This paper has been withdrawn in order to replace it by two separate submissions: 1. Hamiltonian 2-forms in Kahler geometry III: Extremal metrics and stability, math.DG/0511118; 2.…
A remark on Kähler metrics of constant scalar curvature on ruled complex surfaces
Vestislav Apostolov, Christina W. Tønnesen-Friedman
We point out how some recent developments in the theory of constant scalar curvature Kähler metrics can be used to clarify the existence issue for such metrics in the special case…
Hamiltonian 2-forms in Kahler geometry, II Global Classification
Vestislav Apostolov, David M. J. Calderbank, Paul Gauduchon +1
We present a classification of compact Kaehler manifolds admitting a hamiltonian 2-form (which were classified locally in part I of this work). This involves two components of inde…
The curvature and the integrability of almost-Kahler manifolds: a survey
Vestislav Apostolov, Tedi Draghici
We survey some recent results and constructions of almost-Kähler manifolds whose curvature tensors have certain algebraic symmetries. This is an updated and corrected version of th…
Hamiltonian 2-forms in Kahler geometry, I General Theory
Vestislav Apostolov, David M. J. Calderbank, Paul Gauduchon
We introduce the notion of a hamiltonian 2-form on a Kaehler manifold and obtain a complete local classification. This notion appears to play a pivotal role in several aspects of K…
Local models and integrability of certain almost Kahler 4-manifolds
Vestislav Apostolov, John Armstrong, Tedi Draghici
We classify, up to a local isometry, all non-Kahler almost Kahler 4-manifolds for which the fundamental 2-form is an eigenform of the Weyl tensor, and whose Ricci tensor is invaria…