Classification of prime 3-manifolds with σ-invariant greater than RP 3

By H. Bray. 2004

72 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/3b6cde4cc4f9d9c471808a5b880942c7ad88f033

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. E. Humbert
2. Bernd Ammann
3. Mckenzie Y. Wang
4. Mattias Dahl
5. Christoph Böhm
6. Michael T. Anderson
7. W. Ziller
8. Huaihuo Cao

In Geometry and Topology

1. Mckenzie Y. Wang
2. Mattias Dahl
3. Christoph Böhm
4. Michael T. Anderson
5. W. Ziller
6. E. Humbert
7. Bernd Ammann
8. Huaihuo Cao

Citations in the corpus

• Canonical metrics on 3-manifolds and 4-manifolds (2005, background): “S3/; cf. [1], [ 14 ] for some recent progress on this problem.”
• Smooth Yamabe invariant and surgery (2008, background): “It has been conjectured by Schoen [38, Page 10, lines 6–11] that all finite quotients of round spheres satisfy σ(Sn/) = (#) −2/nY (Sn), but this conjecture is only verified for RP 3 [ 10 ], namely σ(RP 3) = 6(ω3/2)2/3.”
• A variational approach for compact homogeneous Einstein manifolds (2004, background): “For positive scalar curvature, the only known supreme Einstein metrics, besides the round metric on S n ,a re the Fubini–Study metric on CP 2 [L2] and the constant curvature metric on RP 3 [ BrN ].”