Minkowski surface area under affine transformations
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Publication:3472778
DOI10.1112/S0025579300012948zbMath0696.52003OpenAlexW2124443601MaRDI QIDQ3472778
Publication date: 1990
Published in: Mathematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0025579300012948
Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Minkowski geometries in nonlinear incidence geometry (51B20) Other special differential geometries (53A40)
Related Items (3)
The minimal Orlicz surface area ⋮ The minimal affine total variation on \(BV(\mathbb{R}^n)\) ⋮ A new ellipsoid associated with convex bodies
Cites Work
- Intersection bodies and dual mixed volumes
- N-dimensional area and content in Minkowski spaces
- The foundations of Minkowskian geometry
- Surface Area of a Convex Body Under Affine Transformations
- An Equiperimetric Property of Minkowski Circles†
- A Theorem on Convex Bodies of the Brunn-Minkowski Type
- The Isoperimetric Problem for Minkowski Area
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