Lower bounds for the index of compact constant mean curvature surfaces in R3 and S3

• Marcos Petrúcio Cavalcante ^[1] ; Darlan Ferreira de Oliveira ^[2]
  1. [1] Universidade Federal de Alagoas

     Universidade Federal de Alagoas

     Brasil

     
  2. [2] Universidade Estadual de Feira de Santana

     Universidade Estadual de Feira de Santana

     Brasil

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 36, Nº 1, 2020, págs. 195-206
• Idioma: inglés
• DOI: 10.4171/rmi/1125
• Enlaces
  • Texto completo
• Resumen

  • Let M be a compact constant mean curvature surface either in S3 or R3. In this paper we prove that the stability index of M is bounded from below by a linear function of the genus. As a by-product we obtain a comparison theorem between the spectrum of the Jacobi operator of M and those of Hodge Laplacian of 1-forms on M.