Lower bounds for Morse index of constant mean curvature tori

Details Lower bounds for Morse index of constant mean curvature tori Lower bounds for Morse index of constant mean curvature tori

2004-10-06

arxiv.org/abs/math/0410136v1

Bull. London Math. Soc. 34 (2002), 599-609

Mathematics

Differential Geometry

Scientific paper

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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