Concepts of curvatures in normed planes

DOI10.1016/j.exmath.2018.04.002zbMath1432.52001arXiv1702.01449OpenAlexW2591594339WikidataQ129911582 ScholiaQ129911582MaRDI QIDQ2292417

Horst Martini, Vitor Balestro, Emad N. Shonoda

Publication date: 3 February 2020

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01449

zbMATH Keywords

evoluteBirkhoff orthogonalitynormed planefour vertex theoremanti-normMinkowski curvature

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Integration of real functions of several variables: length, area, volume (26B15) Convex sets in (2) dimensions (including convex curves) (52A10) Length, area and volume in real or complex geometry (51M25) Curves in Euclidean and related spaces (53A04) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Non-Euclidean differential geometry (53A35) Analytic geometry with other transformation groups (51N25)

Related Items (11)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Orthogonality Types in Normed Linear Spaces ⋮ Some topics in differential geometry of normed spaces ⋮ Differential geometry of immersed surfaces in three-dimensional normed spaces ⋮ Differential geometry of spatial curves for gauges ⋮ Duality of caustics in Minkowski billiards ⋮ Isoperimetric Inequalities in Normed Planes ⋮ THE ROSENTHAL–SZASZ INEQUALITY FOR NORMED PLANES ⋮ On Legendre curves in normed planes ⋮ Curvature types of planar curves for gauges ⋮ Surface immersions in normed spaces from the affine point of view

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