Fine properties of the curvature of arbitrary closed sets

DOI10.1007/s10231-019-00926-wzbMath1462.52008arXiv1708.01549OpenAlexW3099952359WikidataQ126575807 ScholiaQ126575807MaRDI QIDQ778047

Mario Santilli

Publication date: 30 June 2020

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.01549

zbMATH Keywords

second fundamental formnearest point projectionapproximate differentiabilityparallel setssecond-order rectifiabilitysupport measures

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Length, area, volume, other geometric measure theory (28A75) Integral geometry (53C65) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

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Second order rectifiability of varifolds of bounded mean curvature ⋮ Regularity of the distance function from arbitrary closed sets ⋮ A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions ⋮ C^1,1-Rectifiability and Heintze–Karcher Inequality on Sⁿ⁺¹ ⋮ Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets ⋮ Normal bundle and Almgren’s geometric inequality for singular varieties of bounded mean curvature ⋮ Curvature measures and soap bubbles beyond convexity

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