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Morse index of constant mean curvature tori of revolution in the 3-sphere

Wayne Rossman·Nahid Sultana
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Abstract

We compute lower bounds for the Morse index and nullity of constant mean curvature tori of revolution in the three-dimensional unit sphere. In particular, all such tori have index at least five, with index growing at least linearly with respect to the number of the surfaces' bulges, and the index of such tori can be arbitrarily large.

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BibTeXRIS

Wayne Rossman, Nahid Sultana. 2006-05-04. Morse index of constant mean curvature tori of revolution in the 3-sphere. https://arxiv.org/abs/math/0605127

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