Geodesic
A nonlinear Poisson transform for Einstein metrics on product spaces
Journal of the European Mathematical Society, Tome 13 (2011) no. 5, pp. 1423-1475

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/285
Classification : 53-XX, 58-XX, 00-XX
Keywords: 
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     author = {Olivier Biquard and Rafe Mazzeo},
     title = {A nonlinear {Poisson} transform for {Einstein} metrics on product spaces},
     journal = {Journal of the European Mathematical Society},
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     year = {2011},
     doi = {10.4171/jems/285},
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Olivier Biquard; Rafe Mazzeo. A nonlinear Poisson transform for Einstein metrics on product spaces. Journal of the European Mathematical Society, Tome 13 (2011) no. 5, pp. 1423-1475. doi: 10.4171/jems/285

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