Isoperimetric equalities for rosettes
From MaRDI portal
Publication:5113361
DOI10.1142/S0129167X2050041XzbMath1440.52012arXiv1605.08304OpenAlexW3098108313MaRDI QIDQ5113361
Publication date: 4 June 2020
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.08304
Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04)
Related Items (4)
The singular evolutoids set and the extended evolutoids front ⋮ Regular polygons on isochordal-viewed hedgehogs ⋮ The geometry of the secant caustic of a planar curve ⋮ The geometry of the Wigner caustic and a decomposition of a curve into parallel arcs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The improved isoperimetric inequality and the Wigner caustic of planar ovals
- The elastica problem under area constraint
- The Wigner caustic on shell and singularities of odd functions
- Symmetry defect of algebraic varieties
- Iteration of involutes of constant width curves in the Minkowski plane
- Bifurcations of affine equidistants
- Singularities of the Minkowski set and affine equidistants for a curve and a surface
- Even dimensional improper affine spheres
- An isoperimetric inequality with applications to curve shortening
- Curve shortening makes convex curves circular
- An antipodal set of a periodic function
- On rosettes and almost rosettes
- A Laguerre geometric approach to rational offsets
- Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves
- A note on Hurwitz's inequality
- Singularities of affine equidistants: extrinsic geometry of surfaces in 4-space
- Singular points of the Wigner caustic and affine equidistants of planar curves
- The Gauss-Bonnet theorem for coherent tangent bundles over surfaces with boundary and its applications
- Singularities of equidistants and global centre symmetry sets of Lagrangian submanifolds
- A note on the isoperimetric deficit
- Mellish theorem for generalized constant width curves
- The middle hedgehog of a planar convex body
- On the curves of constant relative width
- Singularities of affine equidistants: projections and contacts
- Reconstruction from Medial Representations
- Semi-classical mechanics in phase space: A study of Wigner’s function
- Singularities of centre symmetry sets
- Reflections of Planar Convex Bodies
- Geometric Study of Minkowski Differences of Plane Convex Bodies
- Hedgehogs and zonoids
This page was built for publication: Isoperimetric equalities for rosettes