Timeline for Approximating the action of the U(N) exponential map
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 12, 2014 at 16:31 | comment | added | Jarred | That's a good point. I'm not sure what the exact conditions should be; I just know that they should be a function of $\{H^kx_0\}_{k\le M}$ and they should capture the exponential map in the limit as $M\rightarrow \infty$. | |
| Aug 12, 2014 at 11:16 | comment | added | Robert Bryant | This will still run you into trouble: Suppose you had such a curve $\gamma_M$ as you describe it. Since $\langle \gamma_M(t),\gamma_M(t)\rangle \equiv 1$, differentiating this relation $2M$ times and setting $t=0$ will give you $$\bigl\langle \gamma_M^{(M)}(0),\gamma_M^{(M)}(0)\bigr\rangle = 0,$$ so you'll have to have $$\langle H^kx_0,H^kx_0\rangle = 0.$$ I don't think you want this. | |
| Aug 11, 2014 at 22:31 | comment | added | Jarred | Yes, that's correct - I meant at t=0 | |
| Aug 9, 2014 at 17:12 | comment | added | Christian Remling | I believe the OP wants $(d^k/dt^k)\gamma_M$ as specified only at $t=0$. | |
| Aug 9, 2014 at 14:15 | review | First posts | |||
| Aug 9, 2014 at 15:25 | |||||
| Aug 9, 2014 at 14:12 | history | answered | Incnis Mrsi | CC BY-SA 3.0 |