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) |
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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