Kähler-Einstein metrics on strictly pseudoconvex domains

Details Kähler-Einstein metrics on strictly pseudoconvex domains Kähler-Einstein metrics on strictly pseudoconvex domains

2010-12-31

arxiv.org/abs/1101.0186v2

Annals of Global Analysis and Geometry, 2012

Mathematics

Differential Geometry

30 pages, 1 figure, couple corrections, improved a couple examples

Scientific paper

10.1007/s10455-012-9313-5

The metrics of S. Y. Cheng and S.-T. Yau are considered on a strictly pseudoconvex domains in a complex manifold. Such a manifold carries a complete K\"{a}hler-Einstein metric if and only if its canonical bundle is positive. We consider the restricted case in which the CR structure on $\partial M$ is normal. In this case M must be a domain in a resolution of the Sasaki cone over $\partial M$. We give a condition on a normal CR manifold which it cannot satisfy if it is a CR infinity of a K\"{a}hler-Einstein manifold. We are able to mostly determine those normal CR 3-manifolds which can be CR infinities. Many examples are given of K\"{a}hler-Einstein strictly pseudoconvex manifolds on bundles and resolutions.

Affiliated with

Also associated with

No associations

Rating

Kähler-Einstein metrics on strictly pseudoconvex domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Kähler-Einstein metrics on strictly pseudoconvex domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kähler-Einstein metrics on strictly pseudoconvex domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-295176