English

The Width of Ellipsoids

Differential Geometry 2016-02-29 v2

Abstract

We compute the kk-width of a round 22-sphere for k=1,,8k=1,\ldots,8 and we use this result to show that unstable embedded closed geodesics can arise with multiplicity as a min-max critical varifold.

Keywords

Cite

@article{arxiv.1601.01032,
  title  = {The Width of Ellipsoids},
  author = {Nicolau Sarquis Aiex},
  journal= {arXiv preprint arXiv:1601.01032},
  year   = {2016}
}

Comments

28 pages, 1 figure, revised proofs and corrected typos

R2 v1 2026-06-22T12:23:43.640Z