Lower bounds for Morse index of constant mean curvature tori
Differential Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0410136,
title = {Lower bounds for Morse index of constant mean curvature tori},
author = {Wayne Rossman},
journal= {arXiv preprint arXiv:math/0410136},
year = {2007}
}