The Sasaki Join and Admissible K\"ahler Constructions
Differential Geometry
2015-06-04 v1
Abstract
We give a survey of our recent work describing a method which combines the Sasaki join construction with the admissible K\"ahler construction of to obtain new extremal and new constant scalar curvature Sasaki metrics, including Sasaki-Einstein metrics. The constant scalar curvature Sasaki metrics also provide explicit solutions to the CR Yamabe problem. In this regard we give examples of the lack of uniqueness when the Yamabe invariant is positive.
Keywords
Cite
@article{arxiv.1506.01325,
title = {The Sasaki Join and Admissible K\"ahler Constructions},
author = {Charles P. Boyer and Christina W. Tønnesen-Friedman},
journal= {arXiv preprint arXiv:1506.01325},
year = {2015}
}
Comments
Dedicated to our good friend and colleague Paul Gauduchon on the occasion of his 70th birthday