Integral pinching theorems |
| |
| Authors: | X Dai P Petersen G Wei |
| |
| Institution: | Department of Mathematics, University of California, Santa Barbara,?CA 93106, USA. e-mail: dai@math.ucsb.edu; wei@math.ucsb.edu, US
Department of Mathematics, University of California, Los Angeles, CA 90095, USA. e-mail: petersen@math.ucla.edu, US
|
| |
| Abstract: | Using Hamilton's Ricci flow we shall prove several pinching results for integral 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 manifold is an infra-nilmanifold. We also obtain
a result on deforming metrics to positive sectional curvature.
Received: 17 February 1999 |
| |
| Keywords: | Mathematics Subject Classification (1991): 53C20 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
