Timeline for Curve integral of exponent of superharmonic function.
Current License: CC BY-SA 3.0
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Apr 14, 2011 at 16:07 | comment | added | Igor Belegradek | Incidentally, applying the "geometric proof" to the plane (instead of the disk) we get the amusing conclusion that if $\phi$ is harmonic and non-constant, and $g_0$ is the standard metric on the plane, then $e^\phi g_0$ is not complete. This is because conformal automorphisms of the plane are affine maps, and pulling back the standard metric $g_0$ on the plane by an affine map yields the rescaling of $g_0$ by the conformal factor of the map. | |
| Apr 14, 2011 at 15:53 | history | answered | Igor Belegradek | CC BY-SA 3.0 |