Orbifold classification conjecture for asymptotically cylindrical steady solitons

Let $\mathcal{S}$ be one of the spherical space forms appearing in Table 1, and consider asymptotically $\mathcal{S}$-cylindrical steady gradient Ricci solitons on smooth Riemannian orbifolds. The table lists the corresponding classifications for smooth manifolds, including Bryant solitons, nonexistence results, Appleton solitons, and their quotients. Orbifold classification conjecture. Table 1 correctly classifies asymptotically $\mathcal{S}$-cylindrical steady gradient Ricci solitons on smooth Riemannian orbifolds for the stated spherical space forms, provided that the appropriate quotient of the Bryant soliton is included as an additional possibility in each row. The conjecture is motivated by the expected extension of the paper's local and cohomogeneity-one arguments to orbifolds, but it remains open in the supplied text.