The Bochner-flat cone of a CR manifold
Differential Geometry
2014-01-14 v2
Abstract
We construct a Kahler structure (which we call a generalised Kahler cone) on an open subset of the cone of a strongly pseudo-convex CR manifold endowed with a 1-parameter family of compatible Sasaki structures. We determine those generalised Kahler cones which are Bochner-flat and we study their local geometry. We prove that any Bochner-flat Kahler manifold of complex dimension bigger than two is locally isomorphic to a generalised Kahler cone.
Cite
@article{arxiv.math/0512604,
title = {The Bochner-flat cone of a CR manifold},
author = {Liana David},
journal= {arXiv preprint arXiv:math/0512604},
year = {2014}
}
Comments
29 pages