A nonlinear Poisson transform for Einstein metrics on product spaces

Biquard, Olivier, and Mazzeo, Rafe. "A nonlinear Poisson transform for Einstein metrics on product spaces." Journal of the European Mathematical Society 013.5 (2011): 1423-1475. <http://eudml.org/doc/277742>.

@article{Biquard2011,
abstract = {We consider the Einstein deformations of the reducible rank two symmetric spaces of noncompact type. If $M$ 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 $M$.},
author = {Biquard, Olivier, Mazzeo, Rafe},
journal = {Journal of the European Mathematical Society},
keywords = {Einstein manifold; symmetric space; hyperbolic space; Einstein manifold; symmetric space; hyperbolic space},
language = {eng},
number = {5},
pages = {1423-1475},
publisher = {European Mathematical Society Publishing House},
title = {A nonlinear Poisson transform for Einstein metrics on product spaces},
url = {http://eudml.org/doc/277742},
volume = {013},
year = {2011},
}

TY - JOUR
AU - Biquard, Olivier
AU - Mazzeo, Rafe
TI - A nonlinear Poisson transform for Einstein metrics on product spaces
JO - Journal of the European Mathematical Society
PY - 2011
PB - European Mathematical Society Publishing House
VL - 013
IS - 5
SP - 1423
EP - 1475
AB - We consider the Einstein deformations of the reducible rank two symmetric spaces of noncompact type. If $M$ 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 $M$.
LA - eng
KW - Einstein manifold; symmetric space; hyperbolic space; Einstein manifold; symmetric space; hyperbolic space
UR - http://eudml.org/doc/277742
ER -