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

• Autor: Lázaro Velásquez, Marco Antonio
• Formato: artículo
• Fecha de Publicación: 2023
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revistas - Universidad Nacional de Trujillo
• Lenguaje: inglés
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/5009
• Enlace del recurso: https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5009
• Nivel de acceso: acceso abierto
• Materia: Unit Euclidean sphere; higher order mean curvatures; (r, s)-linear Weingarten Clifford torus; Jacobi operator; index of (r, s)-stability

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.