Timeline for Ricci flow is not a gradient flow for $L^2$-space of metrics
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 20, 2017 at 6:25 | history | edited | j.c. | CC BY-SA 3.0 |
fix link
|
| Nov 19, 2017 at 23:26 | history | edited | Tim Carson | CC BY-SA 3.0 |
added 1514 characters in body
|
| Nov 19, 2017 at 21:57 | comment | added | Tim Carson | You're right, this only shows that the functional cannot be finite on the Bryant soliton. As you point out, this is not a full argument since we can have gradient flows of functionals even if they have infinite value. | |
| Nov 19, 2017 at 19:50 | comment | added | Rbega | Is this really the argument? I think it is generally agreed that mean curvature flow is the negative gradient flow of area, but there are also plenty of non-trivial non-compact translating solutions, e.g., the translating bowl (aka grim paraboloid) which is the MCF analog of the Bryant solitons. | |
| Nov 19, 2017 at 14:39 | vote | accept | L.F. Cavenaghi | ||
| Nov 19, 2017 at 13:17 | history | answered | Tim Carson | CC BY-SA 3.0 |