377 citations · 667 across the 39 of their papers we have counts for
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math.DG2012★ 3 cited
Rotational Surfaces in S^3 with constant mean curvature
Oscar Perdomo
Very recently Ben Andrews and Haizhong Li showed that every embedded cmc torus in the three dimensional sphere is axially symmetric. There is a two-parametric family of axially sym…
math.DG2012★ 3 cited
Stability index jump for cmc hypersurfaces of spheres
Oscar M. Perdomo, Aldir Brasil
It is known that the totally umbilical hypersurfaces in the (n+1)-dimensional spheres are characterized as the only hypersurfaces with weak stability index 0. That is, a compact hy…