# A nonlinear Poisson transform for Einstein metrics on product spaces

Journal of the European Mathematical Society (2011)

- Volume: 013, Issue: 5, page 1423-1475
- ISSN: 1435-9855

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topBiquard, 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 -

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