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Re:Random Points on a Sphere on Monday April 27, 2015 @07:48PM (#9449819)
Oh, I see. I thought you were trying to prove something different.
Re:Random Points on a Sphere on Monday April 27, 2015 @01:11PM (#9447646)
The correct higher-dimensional analogue replaces S^2 by the complex projective space CP^n and the height function by the corresponding moment map.
Re:Random Points on a Sphere on Monday April 27, 2015 @01:05PM (#9447612)
You have to assume that the one-dimensional marginals are Gaussian for otherwise the statement is not correct.