The Morse index of the critical catenoid

  • Graham Smith
  • Detang Zhou
Original Paper


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


Free boundary minimal surfaces Morse index 

Mathematics Subject Classification



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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Instituto de Matemática, UFRJRio de JaneiroBrazil
  2. 2.Instituto de Matemática, UFFNiteróiBrazil

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