Einstein metrics with prescribed conformal infinity on the ball. (English) Zbl 0765.53034

Graham, C. Robin; Lee, John M.

Adv. Math. 87, No. 2, 186-225 (1991).

The authors prove the existence of an Einstein metric on a Euclidean ball of any dimension, realizing, as its conformal infinity, any prescribed metric on the boundary sphere which is sufficiently close (in a suitable Hölder topology) to the standard metric.

Reviewer: A.Derdzinski (Columbus)

MSC:

53C25

Special Riemannian manifolds (Einstein, Sasakian, etc.)

Keywords:

Einstein metric; Euclidean ball; conformal infinity; standard metric

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