6 citations · 16 across the 13 of their papers we have counts for
15 papers
Index of compact minimal submanifolds of the Berger spheres
Francisco Torralbo, Francisco Urbano
The stability and the index of compact minimal submanifolds of the Berger spheres , are studied. Unlike the case of the standard sphere (), w…
On hypersurfaces of
Francisco Urbano
We classify the homogeneous and isoparametric hypersurfaces of . In the classification, besides the hypersurfaces $\mathbb{S}^1(r)\times\mathbb{S}^2…
Minimal surfaces in S^2xS^2
Francisco Torralbo, Francisco Urbano
A general study of minimal surfaces of the Riemannian product of two spheres S^2xS^2 is tackled. We stablish a local correspondence between (non-complex) minimal surfaces of S^2xS^…
Second variation of one-sided complete minimal surfaces
Francisco Urbano
The stability and the index of complete one-sided minimal surfaces of certain three-dimensional Riemannian manifolds with positive scalar curvature are studied.
On stable compact minimal submanifolds
Francisco Torralbo, Francisco Urbano
Stable compact minimal submanifolds of the product of a sphere and any Riemannian manifold are classified whenever the dimension of the sphere is at least three. The complete class…
Compact stable constant mean curvature surfaces in the Berger spheres
Francisco Torralbo, Francisco Urbano
In the 1-parameter family of Berger spheres S^3(a), a > 0 (S^3(1) is the round 3-sphere of radius 1) we classify the stable constant mean curvature spheres, showing that in some Be…