40 citations · 64 across the 6 of their papers we have counts for
12 papers · 1 filter
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This paper has been withdrawn in order to replace it by two separate submissions: 1.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…
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…
Ricci-corrected derivatives and invariant differential operators
David M. J. Calderbank, Tammo Diemer, Vladimir Soucek
We introduce the notion of Ricci-corrected differentiation in parabolic geometry, which is a modification of covariant differentiation with better transformation properties. This e…