Mario Santilli

activity

20172026

most citedRectifiability and approximate differentiability of higher order for sets

23 citations · 80 across the 18 of their papers we have counts for

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math.MG2022

Curvature measures and soap bubbles beyond convexity

Daniel Hug, Mario Santilli

Extending the celebrated results of Alexandrov (1958) and Korevaar-Ros (1988) for smooth sets, as well as the results of Schneider (1979) and the first author (1999) for arbitrary…

math.MG2021

Anisotropic curvature measures and uniqueness of convex bodies

Mario Santilli

We prove that an arbitrary convex body $C \subseteq R^{n + 1}$ , whose $k$ -th anisotropic curvature measure (for $k = 0, \dots, n - 1$ ) is a multiple constant of the anis…