On the shape of the moduli of spherical minimal immersions

DOI10.1090/S0002-9947-06-04081-5zbMath1108.53032OpenAlexW1748622038MaRDI QIDQ3373717

Gábor Tóth

Publication date: 8 March 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04081-5

zbMATH Keywords

moduli spaceconvex bodies

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (11)

Dual mean Minkowski measures of symmetry for convex bodies ⋮ On the structure of convex sets with symmetries ⋮ Simplicial slices of the space of minimal \(\mathrm{SU}(2)\)-orbits in spheres ⋮ Dual mean Minkowski measures and the Grünbaum conjecture for affine diameters ⋮ Notes on Schneider's stability estimates for convex sets ⋮ Minimal simplices inscribed in a convex body ⋮ The mean Minkowski measures for convex bodies of constant width ⋮ Fine structure of convex sets from asymmetric viewpoint ⋮ A measure of symmetry for the moduli of spherical minimal immersions ⋮ Asymmetry of convex sets with isolated extreme points ⋮ Electrostatic capacity and measure of asymmetry

Cites Work

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• Simplicial intersections of a convex set and moduli for spherical minimal immersions
• Isometric immersions of space forms in space forms
• Universal constraints on the range of eigenmaps and spherical minimal immersions
• Convex Polytopes
• Infinitesimal rotations of isometric minimal immersions between spheres

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