Half-space results for generalized linear Weingarten hypersurfaces immersed in the real projective space

MAL Velásquez, HF de Lima… - Boletín de la Sociedad …, 2024 - Springer
We deal with (r, s)-linear Weingarten two-sided hypersurfaces immersed in the (n+ 1)-
dimensional real projective space RP n+ 1, namely, two-sided hypersurfaces of RP n+ 1 …

The region of the unit Euclidean sphere that admits a class of (r, s)-linear Weingarten hypersurfaces

MAL Velásquez - Selecciones Matemáticas, 2023 - revistas.unitru.edu.pe
In the unit Euclidean sphere Sn+ 1, we deal with a class of hypersurfaces that were
characterized in [23] as the critical points of a variational problem, the so-called (r, s)-linear …

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

MAL Velásquez - Selecciones Matemáticas, 2023 - revistas.unitru.edu.pe
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 …