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arxiv: 1102.1565 · v1 · pith:UW63EHEDnew · submitted 2011-02-08 · 🧮 math.DG

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

classification 🧮 math.DG
keywords boundconstantcurvatureindexmathbbmeanmorserevolution
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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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