English

Minimal spheres of arbitrarily high Morse index

Geometric Topology 2007-05-23 v1

Abstract

We construct a smooth Riemannian metric on any 3-manifold with the property that there are genus zero embedded minimal surfaces of arbitrarily high Morse index.

Keywords

Cite

@article{arxiv.math/0206286,
  title  = {Minimal spheres of arbitrarily high Morse index},
  author = {Joel Hass and Paul Norbury and J. Hyam Rubinstein},
  journal= {arXiv preprint arXiv:math/0206286},
  year   = {2007}
}

Comments

10 pages, 2 figures