111 citations · 467 across the 36 of their papers we have counts for
37 papers · 1 filter
Hydrodynamic integrability via geometry
David M. J. Calderbank
This paper develops a geometric approach to the theory of integrability by hydrodynamic reductions to establish an equivalence, for a large class of quasilinear systems, between hy…
Weighted K-stability of polarized varieties and extremality of Sasaki manifolds
Vestislav Apostolov, David M. J. Calderbank, Eveline Legendre
We use the correspondence between extremal Sasaki structures and weighted extremal Kahler metrics defined on a regular quotient of a Sasaki manifold, established by the first two a…
The CR geometry of weighted extremal Kahler and Sasaki metrics
Vestislav Apostolov, David M. J. Calderbank
We establish an equivalence between conformally Einstein--Maxwell Kahler 4-manifolds (recently studied in many works) and extremal Kahler 4-manifolds (in the sense of Calabi) with…
Subriemannian metrics and the metrizability of parabolic geometries
David M. J. Calderbank, Jan Slovak, Vladimir Soucek
We present the linearized metrizability problem in the context of parabolic geometries and subriemannian geometry, generalizing the metrizability problem in projective geometry stu…
The Kähler geometry of Bott manifolds
Charles P. Boyer, David M. J. Calderbank, Christina W. Tønnesen-Friedman
We study the Kähler geometry of stage n Bott manifolds, which can be viewed as -dimensional generalizations of Hirzebruch surfaces. We show, using a simple induction argument an…
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…