Kaehler-Einstein submanifolds of the infinite dimensional projective space

Details Kaehler-Einstein submanifolds of the infinite dimensional projective space Kaehler-Einstein submanifolds of the infinite dimensional projective space

2008-11-05

arxiv.org/abs/0811.0674v2

Math. Ann. 350 (2011), no. 1, 145--154

Mathematics

Differential Geometry

11 pages (corrected version with minor revisions)

Scientific paper

10.1007/s00208-010-0554-y

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.

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