Some Riemannian properties of $\mathbf{S}{\mathbf{U}}_{\mathbf{n}}$ endowed with a bi-invariant metric

Donato Pertici, Alberto Dolcetti

We study some properties of $S{U}_n$ endowed with the Frobenius metric $\varphi$, which is, up to a positive constant multiple, the unique bi-invariant Riemannian metric on $S{U}_n$. In part…