Authors
Citation
Xz. Dai et al., Integral pinching theorems, MANUSC MATH, 101(2), 2000, pp. 143-152
Citations number
15
Categorie Soggetti
Mathematics
Journal title
MANUSCRIPTA MATHEMATICA
ISSN journal
00252611
→ ACNP
Volume
101
Issue
2
Year of publication
2000
Pages
143 - 152
Database
ISI
SICI code
0025-2611(200002)101:2<143:IPT>2.0.ZU;2-9
Abstract
Using Hamilton's Ricci flow we shall prove several pinching results for int
egral curvature. In particular, we show that if p > n/2 and the L-P norm of
the curvature tensor is small and the diameter is bounded, then the manifo
ld is an infra-nilmanifold. We also obtain a result on deforming metrics to
positive sectional curvature.