Berger's inequality for Einstein manifolds

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In mathematics — specifically, in differential topology — Berger's inequality for Einstein manifolds is the statement that any 4-dimensional Einstein manifold (M, g) has non-negative Euler characteristic χ(M) ≥ 0. The inequality is named after the French mathematician Marcel Berger.

[edit] References

• Hoster, M.; Kotschick, D. (2001). "On the simplicial volumes of fiber bundles". Proc. Amer. Math. Soc. 129 (4): 1229--1232. doi:10.1090/S0002-9939-00-05645-8. ISSN 0002-9939.  MR1709754