A nonlinear Poisson transform for Einstein metrics on product spaces

Details A nonlinear Poisson transform for Einstein metrics on product spaces A nonlinear Poisson transform for Einstein metrics on product spaces

2007-01-30

arxiv.org/abs/math/0701868v1

Mathematics

Differential Geometry

53 pages

Scientific paper

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 $M$.

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