2004/10/06 by Wayne Rossman
Mathematics · #math.DG #msc:53A10
published as Bull. London Math. Soc. 34 (2002), 599-609
arxiv created 2004/10/06 · arxiv updated 2009/12/01
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.