scientific article; zbMATH DE number 5268895

zbMath1146.52004MaRDI QIDQ5301340

Margarita Spirova, Horst Martini

Publication date: 29 April 2008

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

reflectionisometryMinkowski spacenormed linear spaceconvex bodyorthogonalitysmooth normHelly's theoremHolmes-Thompson areaJung's theoremstrictly convex normreduced bodybody of constant widthorthocentricityFeuerbach circleBusemann areacross-section measuresBonnesen-type inequalityClifford configuration

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Isometric theory of Banach spaces (46B04) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Inequalities and extremum problems in real or complex geometry (51M16) Reflection groups, reflection geometries (51F15) Research exposition (monographs, survey articles) pertaining to geometry (51-02)

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