Proposition

Proposition 9. For all sufficiently small positive δ , every returning geodesic passage of the constructed neck has nonnegative perpendicular index form I^⊥(V) for every smooth field V along the closed passage, with no restriction on its …

Proposition 9. For all sufficiently small positive δ , every returning geodesic passage of the constructed neck has nonnegative perpendicular index form I^⊥(V) for every smooth field V along the closed passage, with no restriction on its endpoint values. A single choice of δ works for both boundary components and all unit-speed returning geodesics.