The Morse index of the critical catenoid

Graham Smith; Detang Zhou

The Morse index of the critical catenoid

Differential Geometry 2017-05-16 v2

Authors: Graham Smith , Detang Zhou

Abstract

We show that the rotationally symmetric free boundary minimal catenoid in the unit ball in $\Bbb{R}^3$ has Morse index equal to $4$ .

Keywords

Morse index critical catenoid free boundary minimal surface unit ball

Cite

@article{arxiv.1609.01485,
  title  = {The Morse index of the critical catenoid},
  author = {Graham Smith and Detang Zhou},
  journal= {arXiv preprint arXiv:1609.01485},
  year   = {2017}
}

Comments

A short proof of a useful result (c.f. also Devyver B., arXiv:1609.02315 and Tran H., arXiv:1609.01651). Final version. Improved introduction with a more thorough description of the context

The Morse index of the critical catenoid

Abstract

Keywords

Cite

Comments

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