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20102026
most citedStability properties and topology at infinity of f-minimal hypersurfaces

56 citations · 141 across the 19 of their papers we have counts for

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math.DG2026

Sobolev and Michael-Simon inequalities via the ABP method beyond Euclidean volume growth

Debora Impera, Michele Rimoldi, Giona Veronelli

We develop an ABP approach to Sobolev and Michael-Simon type inequalities under volume noncollapsing assumptions. The main new observation is a refinement of Brendle's contact-set…

math.DG2026

Classification of quadratically pinched self-shrinkers in higher codimension

Debora Impera, Michele Rimoldi, Francesco Ruatta

We classify properly immersed self-shrinkers of the mean curvature flow in arbitrary codimension under a quadratic pinching condition of Andrews-Baker type on the second fundamenta…