The Morse index of the critical catenoid

Abstract

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

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

Cited by in corpus (1)

• Deformations of free boundary CMC hypersurfaces