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Nov 20, 2016 at 20:50 history edited John Jiang CC BY-SA 3.0
deleted 3 characters in body
Nov 20, 2016 at 20:50 vote accept John Jiang
May 5, 2012 at 2:59 comment added John Jiang @Anton, I guess it depends on how you put a Riemannian metric structure on the orbit space right?
Jan 5, 2012 at 3:55 comment added Anton Petrunin @John, the projection to the orbit space of isometric group action is always an submetry.
Jan 4, 2012 at 6:58 comment added John Jiang +1 for appeal to deity.
Jan 4, 2012 at 6:26 comment added Mariano Suárez-Álvarez $DEITY, now Lipschitzness!... :P
Jan 4, 2012 at 6:24 vote accept John Jiang
May 5, 2012 at 3:01
Jan 4, 2012 at 6:24 comment added John Jiang I guess your claim that $f$ is a submetry can be proved by Lipschitzness of the exponential map at every point on $U(n)$, which in turn can be proved by Baker-Hausdorff lemma. Is this how you think about it?
Jan 4, 2012 at 6:21 comment added Anton Petrunin arxiv.org/abs/0909.4650
Jan 4, 2012 at 6:16 comment added Mariano Suárez-Álvarez Do people really say submetry?
Jan 4, 2012 at 6:14 history answered Anton Petrunin CC BY-SA 3.0