On the index of stability of (r, s)-linear Weingarten Clifford tori

• Marco Antonio Lázaro Velásquez ^[1]
  1. [1] Universidade Federal de Campina Grande

     Universidade Federal de Campina Grande

     Brasil

     
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 10, Nº. 1, 2023, págs. 102-113
• Idioma: inglés
• DOI: 10.17268/sel.mat.2023.01.10
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• Resumen

  • For entire numbers r and s satisfying 0 ≤ r ≤ s ≤ n − 2, we showed that the index of (r, s)-stability of a (r, s)-linear Weingarten Clifford torus immersed into the (n + 1)-dimensional unit Euclidean sphere, that has a linear combination of their higher order mean curvatures Hr+1 and Hs+1 being null, is exactly equal to n + 3 provided that a geometric condition involving Hr+2 and Hs+2 is satisfied.