Timeline for Harmonic function with gradient of constant norm in hyperbolic 3-space
Current License: CC BY-SA 3.0
6 events
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Nov 14, 2012 at 17:35 | vote | accept | Matthias Plaue | ||
Nov 14, 2012 at 17:35 | |||||
Oct 26, 2012 at 15:34 | history | edited | Ian Agol | CC BY-SA 3.0 |
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Oct 26, 2012 at 2:33 | comment | added | Ian Agol | @GB: it's not trivial. I'll try to give a more detailed argument later using 2nd variation. But notice the 2nd fund. form depends only on the 2nd derivative at a point. If two surfaces agree to 2nd order, then so will the time t evolute. So the curvature depends only on the 2nd fund. form. | |
Oct 25, 2012 at 21:47 | comment | added | J. GE | @Agol "This is because under the orthogonal flow for time t, the second fundamental form at time t is determined uniquely by the second fundamental form at time 0." Is this statement trivial? | |
Oct 25, 2012 at 21:28 | history | edited | Ian Agol | CC BY-SA 3.0 |
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Oct 24, 2012 at 17:21 | history | answered | Ian Agol | CC BY-SA 3.0 |