Maximum and minimum of support functions

DOI10.14492/hokmj/2021-557arXiv1701.08956OpenAlexW4388551643MaRDI QIDQ6185374

Huhe Han

Publication date: 8 January 2024

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08956

zbMATH Keywords

maximumminimumsupport functionWulff shapeconvex integrand

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Real functions (26-XX)

Cites Work

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• Spherical bodies of constant width
• Self-dual Wulff shapes and spherical convex bodies of constant width \({\pi}/{2}\)
• Covering of a reduced spherical body by a disk
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• The cone over the Clifford torus in \(R^ 4\) is \(\Phi\)-minimizing
• When is a spherical body of constant diameter of constant width?
• Width of spherical convex bodies
• Normal forms for singularities of pedal curves produced by non-singular dual curve germs in \(S^{n}\)
• Topological aspect of Wulff shapes
• Crystalline variational problems
• The spherical dual transform is an isometry for spherical Wulff shapes
• Strictly convex Wulff shapes and 𝐶¹ convex integrands

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