Affine inner automorphisms of $SU(2)$
Affine inner automorphisms of $SU(2)$
We show which inner automorphisms of $(SU(2), g)$ with an arbitrary left invariant metric $g$ into itself are affine transformations, and obtain affine transformations of $(SU(2), g)$ which are not harmonic, and study geodesics of $(SU(2), g)$ with some conditions.