On the signature and Euler characteristic of certain four-manifolds
Published online by Cambridge University Press: 24 October 2008
Extract
Let M be a smooth closed connected oriented 4-manifold; we shall say that M satisfies Winkelnkemper's inequality when its signature, σ(M), and Euler characteristic, X(M), are related by
This inequality is trivially true for manifolds M with first Betti number b1(M) ≤ 1.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 114 , Issue 3 , November 1993 , pp. 431 - 437
- Copyright
- Copyright © Cambridge Philosophical Society 1993
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