53 citations · 135 across the 23 of their papers we have counts for
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math.DG2013★ 2 cited
Geometry of non-compact minimal and marginally outer-trapped surfaces in asymptotically flat manifolds
Alessandro Carlotto
In this article we extend several foundational results of the theory of complete minimal surfaces of finite index in the Euclidean space to minimal surfaces in asymptotically flat…
math.DG2013★ 7 cited
Existence of generalized totally umbilic 2-spheres in perturbed 3-spheres
Alessandro Carlotto, Andrea Mondino
It was recently shown by R. Souam and E. Toubiana that the (non constantly curved) Berger spheres do not contain totally umbilic surfaces. Nevertheless in this article we show, by…