Timeline for Some questions about scalar curvature
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Jul 25, 2010 at 13:48 | vote | accept | Paul Siegel | ||
| Jun 30, 2010 at 19:05 | comment | added | Willie Wong | Also, if you don't care too much about reading the proofs, you should take a look at Jerry Kazdan's CBMS notes "Prescribing the Curvature of a Riemannian Manifold". It has a pretty extensive list of references to questions of the type you are asking. | |
| Jun 30, 2010 at 18:49 | history | edited | Jason DeVito - on hiatus | CC BY-SA 2.5 |
Corrected theorem
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| Jun 30, 2010 at 18:41 | comment | added | Willie Wong | This version of the KW theorem only works for dimension > 2. Obviously $S^2$ is in class I with the standard metric, but by Gauss-Bonnet cannot admit a metric of negative scalar curvature. The more precise version of the KW theorem is Theorem 6.1 in the notes. | |
| Jun 30, 2010 at 14:20 | history | answered | Jason DeVito - on hiatus | CC BY-SA 2.5 |