Shortest closed curve to inspect a sphere
From MaRDI portal
Publication:2054214
DOI10.1515/crelle-2021-0049zbMath1482.53006arXiv2010.15204OpenAlexW3197235330MaRDI QIDQ2054214
Publication date: 1 December 2021
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.15204
Inequalities and extremum problems involving convexity in convex geometry (52A40) Curves in Euclidean and related spaces (53A04)
Related Items (4)
Online search for a hyperplane in high-dimensional Euclidean space ⋮ t-Design Curves and Mobile Sampling on the Sphere ⋮ A nearly tight lower bound for the \(d\)-dimensional cow-path problem ⋮ Spherical-Inspection2
Uses Software
Cites Work
- Tangent cones and regularity of real hypersurfaces
- Boundary torsion and convex caps of locally convex surfaces
- Unsolved problems in geometry
- On the minimum ropelength of knots and links
- An improved upper bound for Leo Moser's worm problem
- On the number of circles of curvature perfectly enclosing or perfectly enclosed by a closed convex oval
- The length, width, and inradius of space curves
- Density of a minimal submanifold and total curvature of its boundary
- The sharp isoperimetric inequality for minimal surfaces with radially connected boundary in hyperbolic space
- Almost convex subsets
- On F. Riesz' fundamental theorem on subharmonic functions
- An isoperimetric inequality for closed curves convex in even-dimensional Euclidean spaces
- Integral formulas in Crofton's style on the sphere and some inequalities referring to spherical curves
- Du calcul différentiel au calcul variationnel
- Research Problems in Discrete Geometry
- Rectifiable Curves and the Weierstrass Integral
- Curvature Measures
- Lost in a Forest
- Torsion of locally convex curves
- Curve packing and modulus estimates
- Isoperimetric inequalities for convex hulls and related questions
- Convex Bodies The Brunn-MinkowskiTheory
- Notions of convexity
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Shortest closed curve to inspect a sphere