Timeline for Inner products on differential forms
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 23, 2011 at 19:14 | comment | added | Slobodan Simić | Thanks, Brian and Paul - that's exactly what I wanted to know. Thanks also to José for an entirely different (at least for me) point of view. | |
| Sep 23, 2011 at 19:12 | vote | accept | Slobodan Simić | ||
| Sep 11, 2011 at 3:13 | comment | added | Paul | Just to expand on your answer a little (for my own benefit?): If I understand the question asked, it is whether every inner product on $\Omega^k(M)$ is the $L^2$ inner product for some Riemannian metric on $M$. Since (for closed manifolds) the Sobolev $H^s$ norm for a fixed $s$ but two different Riemannian metrics are equivalent, but for different $s$ are inequivalent, then e.g. the $H^1$ inner product on $\Omega^k(M)$ can never be the $L^2=H^0$ inner product for any riemannian metric on $M$. | |
| Sep 10, 2011 at 0:40 | history | answered | Brian Clarke | CC BY-SA 3.0 |