On the minimality of locally similar Cantor sets of S 1 .

Authors’ abstract: We prove that if a locally similar Cantor set is under the conditions of McDuff’s conjecture then it cannot be C 1+α-minimal, for any α > 0. A related article is: A. Portela [Bull. Braz. Math. Soc. (N.S.) 40, No. 1, 53–75 (2009; Zbl 1175.37046)].