Institute for Mathematical Sciences

Preprint ims94-15

C. LeBrun
Einstein Metrics and Mostow Rigidity

Abstract: Using the new diffeomorphism invariants of Seiberg and Witten, a uniqueness theorem is proved for Einstein metrics on compact quotients of irreducible 4-dimensional symmetric spaces of non-compact type. The proof also yields a Riemannian version of the Miyaoka-Yau inequality.
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