A new bound on the Morse index of constant mean curvature tori of revolution in $\mathbb{S}^3$

Antonio Cañete

Published 2011-02-08Version 1

In this work we give a new lower bound on the Morse index for constant mean curvature tori of revolution immersed in the three-sphere $\mathbb{S}^3$, by computing some explicit negative eigenvalues for the corresponding Jacobi operator.