24 citations · 60 across the 19 of their papers we have counts for
3 papers · 1 filter
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…
An application of the Duistertmaat--Heckman Theorem and its extensions in Sasaki Geometry
Charles P. Boyer, Hongnian Huang, Eveline Legendre
Building on an idea laid out by Martelli--Sparks--Yau, we use the Duistermaat-Heckman localization formula and an extension of it to give rational and explicit expressions of the v…
Toric contact geometry in arbitrary codimension
Vestislav Apostolov, David M J Calderbank, Paul Gauduchon +1
We define toric contact manifolds in arbitrary codimension and give a description of such manifolds in terms of a kind of labelled polytope embedded into a grassmannian, analogous…