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.

7 pages, LaTeX (with optional \Bbb font replaceable by \bf)

References in corpus (1)

• Monopoles and Four-Manifolds

Cited by in corpus (1)

• Attractors of the `n+1' dimensional Einstein-$\Lambda$ flow