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Lower bounds for Morse index of constant mean curvature tori

Wayne Rossman
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Abstract

We give three lower bounds for the Morse index of a constant mean curvature torus in Euclidean 3-space in terms of its spectral genus g. The first two lower bounds grow linearly in g and are stronger for smaller values of g, while the third grows quadratically in g but is weaker for smaller values of g.

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Wayne Rossman. 2004-10-06. Lower bounds for Morse index of constant mean curvature tori. https://arxiv.org/abs/math/0410136

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