Classification of Prime 3-Manifolds with Yamabe Invariant Greater than${\Bbb RP}^{3}

In this paper we compute the σ-invariants (sometimes also called the smooth Yamabe invariants) of${\Bbb RP}^{3}$and${\Bbb RP}^{2}\times S^{1}$(which are equal) and show that the only prime 3-manifolds with larger σ-invariants are S3, S2× S1, and$S^{2}\tilde{\times }S^{1}$(the nonorientable S2bundle...

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Veröffentlicht in:	Annals of mathematics 2004-01, Vol.159 (1), p.407-424
Hauptverfasser:	Bray, Hubert L., Neves, André
Format:	Artikel
Sprache:	eng
Schlagworte:	Connected regions Curvature Infinity Mathematical constants Mathematical manifolds Mathematics Minimal surfaces Riemann manifold Scalars Schwarzschild metric
Online-Zugang:	Volltext
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