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LOWER BOUNDS FOR MORSE INDEX OF CONSTANT MEAN CURVATURE TORI
Published online by Cambridge University Press: 24 March 2003
Abstract
In the paper, three lower bounds are given 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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- © The London Mathematical Society 2002
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