Abstract
We formulate natural conformally invariant conditions on a 4-manifold for the existence of a metric whose Schouten tensor satisfies a quadratic inequality. This inequality implies that the eigenvalues of the Ricci tensor are positively pinched.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 709-787 |
| Number of pages | 79 |
| Journal | Annals of Mathematics |
| Volume | 155 |
| Issue number | 3 |
| DOIs | |
| State | Published - May 2002 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
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