Conformally Kähler, Einstein-Maxwell Geometry
About:
This article is published in Journal of the European Mathematical Society.The article was published on 2019-01-08 and is currently open access. It has received 15 citations till now. The article focuses on the topics: Toric variety & Einstein.read more
Citations
More filters
Journal ArticleDOI
Levi–Kähler reduction of CR structures, products of spheres, and toric geometry
TL;DR: In this article, the Levi-Kahler quotient of toric CR manifolds has been studied in arbitrary codimension, and a process called the Levi Kullback quotient is introduced for constructing Kahler metrics from CR structures with a transverse torus action.
Journal ArticleDOI
The CR geometry of weighted extremal Kähler and Sasaki metrics
TL;DR: Apostolov et al. as mentioned in this paper established an equivalence between conformally Einstein-Maxwell Kahler 4-manifolds and projective bundles with respect to the notion of a weighted extremal Kahler metric.
Journal ArticleDOI
Weighted K-stability of polarized varieties and extremality of Sasaki manifolds
TL;DR: In this article, it was shown that the (relative) weighted K-stability with respect to a maximal torus and smooth equivariant test configurations with reduced central fibre is a necessary condition for the existence of a (possibly irregular) extremal Sasaki metric.
Journal ArticleDOI
Conformally K\"ahler, Einstein-Maxwell metrics on Hirzebruch surfaces.
Abstract: In this note we prove that a special family of Killing potentials on certain Hirzebruch complex surfaces, found by Futaki and Ono, gives rise to new conformally Kahler, Einstein-Maxwell metrics. The correspondent Kahler metrics are ambitoric but they are not given by the Calabi ansatz. This answers in positive questions raised by Futaki-Ono.
Posted Content
Uniform K-stability and Conformally Kähler, Einstein-Maxwell geometry on toric manifolds
TL;DR: In this article, the authors introduce uniform K-stability for toric Kahler manifolds, and show that uniform Kstability is necessary condition for the existence of $f$-extremal metrics on toric manifolds.