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Sep 10, 2015 at 1:56 comment added Allen Knutson Yes, there is a $[0,1]$ interval's worth of invariant (I don't know why you say equivariant) Hermitian metrics, considered up to scale.
Sep 9, 2015 at 16:12 comment added Han Jin Ma For $SU(3)$, does the 2-dim space of symplectic forms imply another equivariant Hermitian metric?
Sep 9, 2015 at 16:10 comment added Han Jin Ma I guess there is some misunderstanding here, when I said unique, I intended "unique up to scalar multiple". I thought this was obvious . . . but obviously not. Apologies for my sloppiness.
Sep 9, 2015 at 11:28 vote accept Han Jin Ma
Sep 9, 2015 at 11:24 history answered Allen Knutson CC BY-SA 3.0