Kaehler-Einstein submanifolds of the infinite dimensional projective space
Differential Geometry
2012-04-16 v2 Complex Variables
Abstract
This paper consists of two main results. In the first one we describe all Kaehler immersions of a bounded symmetric domain into the infinite dimensional complex projective space in terms of the Wallach set of the domain. In the second one we exhibit an example of complete and non-homogeneous Kaehler-Einstein metric with negative scalar curvature which admits a Kaehler immersion into the infinite dimensional complex projective space.
Keywords
Cite
@article{arxiv.0811.0674,
title = {Kaehler-Einstein submanifolds of the infinite dimensional projective space},
author = {Andrea Loi and Michela Zedda},
journal= {arXiv preprint arXiv:0811.0674},
year = {2012}
}
Comments
11 pages (corrected version with minor revisions)