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

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

2011-02-08

arxiv.org/abs/1102.1565v1

Mathematics

Differential Geometry

12 pages

Scientific paper

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.

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