A nonlinear Poisson transform for Einstein metrics on product spaces
Differential Geometry
2007-05-23 v1
Abstract
We consider the Einstein deformations of the reducible rank two symmetric spaces of noncompact type. If is the product of any two real, complex, quaternionic or octonionic hyperbolic spaces, we prove that the family of nearby Einstein metrics is parametrized by certain new geometric structures on the Furstenberg boundary of .
Cite
@article{arxiv.math/0701868,
title = {A nonlinear Poisson transform for Einstein metrics on product spaces},
author = {Olivier Biquard and Rafe Mazzeo},
journal= {arXiv preprint arXiv:math/0701868},
year = {2007}
}
Comments
53 pages