We classify all selfinjective finite dimensional algebras over an algebraically closed field which are socle equivalent to the tame selfinjective algebras which admit simply connected Galois coverings and whose Auslander-Reiten quiver consists only of stable tubes.
"Socle deformations of selfinjective algebras of tubular type." J. Math. Soc. Japan 56 (3) 687 - 716, July, 2004. https://doi.org/10.2969/jmsj/1191334081