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Einstein Metrics and Mostow Rigidity

Claude LeBrun
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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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Claude LeBrun. 1994-11-21. Einstein Metrics and Mostow Rigidity. https://arxiv.org/abs/dg-ga/9411005

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