Morse Index Bound for Minimal Torus

Abstract

The min-max construction of minimal spheres using harmonic replacement is introduced by Colding and Minicozzi and generalized by Zhou to conformal harmonic torus. We prove that the Morse index of the min-max conformal harmonic torus is bounded by one.

43 pages

References in corpus (1)

• Existence of constant mean curvature 2-spheres in Riemannian 3-spheres