206 citations · 1.5k across the 62 of their papers we have counts for
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math.DG2014★ 4 cited
Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds I: Minimization
Norihisa Ikoma, Andrea Malchiodi, Andrea Mondino
We construct embedded Willmore tori with small area constraint in Riemannian three-manifolds under some curvature condition used to prevent Möbius degeneration. The construction re…
math.DG2014★ 96 cited
Structure Theory of Metric-Measure Spaces with Lower Ricci Curvature Bounds
Andrea Mondino, Aaron Naber
We prove that a metric measure space satisfying finite dimensional lower Ricci curvature bounds and whose Sobolev space is Hilbert is rectifiable. That is, a $R…