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Aug 29, 2014 at 19:59 vote accept sol0invictus
Aug 29, 2014 at 19:59 vote accept sol0invictus
Aug 29, 2014 at 19:59
Aug 29, 2014 at 8:40 comment added Trimok @sol0invictus : It is, in some sense, the definition of the moduli, the moduli space (see $5.2.2$) is the "quotient" of space metrics by Diff Weyl redundancy. For instance, the quotient of $SO(4)$ by $SU(2)$ is $SU(2)$ because the two $SU(2)$ are "orthogonal" (independent). But the quotient of $S^3$ by $S^2$ is not $S^1$. There is a local fiber $S^1$, but it is not a global one, and there is not global $S^1$ and $S^2$ which are orthogonal.
Aug 28, 2014 at 16:45 comment added sol0invictus Thanks for the clarification but is there any reason to take the space of moduli variation to be orthogonal ?
Aug 28, 2014 at 12:28 history answered Trimok CC BY-SA 3.0