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**Thus parallel transport ***Adidas Superstar Grey Womens* is a measurement of the.
** But the question is. , ****Adidas Superstar Child**
** in April to mail fraud and tax evasion. Her public defender said in court papers that she is a church going mother, active in community service, who offers no excuse for her conduct. Texas Whataburger turns away cops: 'We don't serve police'Police: TX teacher told student he ***Mens Adidas Superstar Casual Shoes*
** cuts off sexual relationships 'at 8th graders'Houston radio host announces cancer diagnosisMuslim teen's arrest in Texas gets NASA's attention after social media outrageTexas drilling permits cut in half amid oil price falloutLocal meteorologist injures self on new TV set (w/video)Actor admits lying about narrowly escaping World Trade Center on 9/11Family of teen killed in bus crash plans to sue HISD, others'Star Trek' actress accused of exposing herself to kidsNational magazine praises River Oaks mansionI understand that for any given curve $\alpha$ and starting vector $v$ there is a unique parallel transport along $\alpha$ so that $v(t)$ is a parallel vector field. However, I am hung up on what the significance of the rotation of the tangent plane is. First I do not know how I would ever incorporate this rotation into anything mathematically (like what qualifies as a rotation?).
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** whether every rotations can be realized as a parallel transport. For example, if $M$ is the plane, it turns out that only the identity matrix can be realized as a parallel transport. This is due to the fact that the plane has Euclidean curvature.
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** rotational metric.
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** Second I'm not convinced that rotating the tangent plane does anything, shouldn't this effectively just be a change of basis for the vector $v$? Any help would be appreciated. First of all, every parallel transport preserves the metric, we have $\langle v, w\rangle = \langle P_\alpha v, P_\alpha w\rangle$ for all $v, w\in T_pM$. Also, we must have $\det P_\alpha = 1$, as $\det$ is a continuous function and the properties on metric imply that the determinant has to be $\pm 1$. These two conditions imply that $P_\alpha$ has to be a Adidas Superstar 2 Black And White**
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