Citation
J. Petean et G. Yun, Surgery and the Yamabe invariant, GEO FUNCT A, 9(6), 1999, pp. 1189-1199
Citations number
10
Categorie Soggetti
Mathematics
Journal title
GEOMETRIC AND FUNCTIONAL ANALYSIS
ISSN journal
1016443X
→ ACNP
Volume
9
Issue
6
Year of publication
1999
Pages
1189 - 1199
Database
ISI
SICI code
1016-443X(1999)9:6<1189:SATYI>2.0.ZU;2-8
Abstract
We study the Yamabe invariant of manifolds obtained as connected sums along
submanifolds of codimension greater than 2. In particular: for a compact c
onnected manifold M with no metric of positive scaler curvature, we prove t
hat the Yamabe invariant of any manifold obtained by performing surgery on
spheres of codimension greater than 2 on M is not smaller than the invarian
t of M.