A nonlinear Poisson transform for Einstein metrics on product spaces

作者:Biquard Olivier*; Mazzeo Rafe
来源:Journal of the European Mathematical Society, 2011, 13(5): 1423-1475.
DOI:10.4171/JEMS/285

摘要

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.

  • 出版日期2011