4 citations · 4 across the 3 of their papers we have counts for
7 papers
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This paper has been withdrawn in order to replace it by two separate submissions: 1.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.…
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 Guillemin formula and Kaehler metrics on toric symplectic manifolds
David M. J. Calderbank, Liana David, Paul Gauduchon
We discuss the construction of toric Kaehler metrics on symplectic 2n-manifolds with a hamiltonian n-torus action and present a simple derivation of the Guillemin formula for a dis…
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…
The geometry of weakly selfdual Kahler surfaces
Vestislav Apostolov, David M. J. Calderbank, Paul Gauduchon
We study Kahler surfaces with harmonic anti-selfdual Weyl tensor. We provide an explicit local description, which we use to obtain the complete classification in the compact case.…
Self-dual Einstein Hermitian four manifolds
Vestislav Apostolov, Paul Gauduchon
We provide a local classification of self-dual Einstein Riemannian four manifolds admitting a positively oriented Hermitian structure and characterize those which carry a hyperherm…