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On plane Minkowski geometry

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Publication:1167419
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DOI10.1007/BF00147579zbMath0491.52008MaRDI QIDQ1167419

Heinrich Guggenheimer

Publication date: 1982

Published in: Geometriae Dedicata (Search for Journal in Brave)


zbMATH Keywords

isoperimetric inequalityintegral geometryMinkowski geometryBonnesen's inequalityfour-vertex theorem


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Minkowski geometries in nonlinear incidence geometry (51B20) Other special differential geometries (53A40) Geometric orders, order geometry (53C75)


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A cyclographic approach to the vertices of plane curves ⋮ Minkowski Geometry—Some Concepts and Recent Developments ⋮ Classical curve theory in normed planes ⋮ A discrete four vertex theorem ⋮ Isoperimetric Inequalities in Normed Planes ⋮ Angles in normed spaces ⋮ Concepts of curvatures in normed planes ⋮ On a cosine function defined for smooth normed spaces



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