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alvarezpaiva
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Is every bi-invariant Finsler metric on $SU(N)$ necessarily Riemannian?

Is every bi-invariant Finsler metric on $SU(N)$ necessarily Riemannian?

If possible I'd also like to know if the right translation of the Shatten $p-norm$ on the Lie algebra gives rise to a bi-invariant metric?

Benjamin
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