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The Morse index of the critical catenoid

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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.

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Authors and Affiliations

  1. Instituto de Matemática, UFRJ, Av. Athos da Silveira Ramos 149, Centro de Tecnologia - Bloco C, Cidade Universitária - Ilha do Fundão, Caixa Postal 68530, Rio de Janeiro, RJ, 21941-909, Brazil

    Graham Smith

  2. Instituto de Matemática, UFF, Rua Professor Marcos Waldemar de Freitas Reis, Bloco H - Campus do Gragoatá, São Domingos, Niterói, RJ, 24.210-201, Brazil

    Detang Zhou

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  1. Graham Smith
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  2. Detang Zhou
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Correspondence to Graham Smith.

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Smith, G., Zhou, D. The Morse index of the critical catenoid. Geom Dedicata 201, 13–19 (2019). https://doi.org/10.1007/s10711-018-0412-8

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  • DOI: https://doi.org/10.1007/s10711-018-0412-8

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