Stability of the identity map of \(SU(3)/T(k,l)\) (Q1346787)

In SU(3), consider the one-parameter subgroup \[ T(k,l) = \{\text{diag} [e^{2\pi ik \theta}, e^{2\pi il \theta}, e^{-2\pi i(k + l) \theta}]; \quad \theta \in \mathbb{R}\}, \] where \(k\), \(l\) are relatively prime integers. Endow SU(3) /\(T(k,l)\) with the SU(3)-invariant Riemannian metric \(g\) induced from an invariant metric on the Lie algebra \({\mathfrak s} {\mathfrak u}(3)\). The author proves that the identity map of (SU(3)/\(T(k,l), g)\) is stable.