Correction to “Bifurcation of minimal surfaces in Riemannian manifolds”

Abstract

Proof of Theorem 1. We shall first solve the simplified version of (3.20), (3.27) 0 = (ugh, (i) + Qi(v), (to be precise, we shall actually solve a further simplified version, where we only keep the leading terms of (3.24)) and then use the implicit function theorem to get a solution of (3.20). By Lemma 2, for each t, we may find ht satisfying (3.28) (ug ht,I (i) = tnt X, with ni as in (3.24). (3.27) then becomes