Berger's inequality for Einstein manifolds
- Berger's inequality for Einstein manifolds
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.
References
* cite journal
last = Hoster
first = M.
coauthors = Kotschick, D.
title = On the simplicial volumes of fiber bundles
journal = Proc. Amer. Math. Soc.
volume = 129
year = 2001
issue = 4
pages = 1229--1232
issn = 0002-9939
doi = 10.1090/S0002-9939-00-05645-8 MathSciNet|id=1709754
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