17 citations · 24 across the 4 of their papers we have counts for
4 papers
Continued fractions and Einstein manifolds of infinite topological type
David M. J. Calderbank, Michael A. Singer
We present a construction of complete self-dual Einstein metrics of negative scalar curvature on an uncountable family of manifolds of infinite topological type, which are enumerat…
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This paper has been withdrawn in order to replace it by two separate submissions: 1.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.…
Toric selfdual Einstein metrics on compact orbifolds
David M. J. Calderbank, Michael A. Singer
We prove that any compact selfdual Einstein 4-orbifold of positive scalar curvature whose isometry group contains a 2-torus is, up to an orbifold covering, a quaternion Kaehler quo…
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…