Timeline for Laplacian of a hypersurface
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Mar 1, 2013 at 6:05 | comment | added | magguu | The convention is $\bar{\nabla} = \nabla + \sigma$ where $\bar{\nabla} $ is the connection on $\mathbb{R}^{n+1}$, $\nabla$ is the connection on $S$ and $\sigma$ is the second fundamental tensor. The laplacian sign convention I have already described. I dont think it is a problem of sign convention. Any other opinions ? | |
| Mar 1, 2013 at 1:38 | comment | added | Willie Wong | What is the convention for the sign of the second fundamental form? Once you know that you can just do a simple sanity check by looking at the unit sphere $\mathbb{S}^n$. If the sign convention is that for a sphere the mean curvature vector is outward pointing, then you are right (up to an overall minus sign outside the parentheses). (Since $z \equiv 1$ on $S$...) | |
| Feb 28, 2013 at 19:13 | history | asked | magguu | CC BY-SA 3.0 |