A perimeter-based angle measure in Minkowski planes

DOI10.1007/s00010-017-0526-3zbMath1396.46012OpenAlexW2781036166MaRDI QIDQ1692287

Martin Obst

Publication date: 26 January 2018

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

Full work available at URL: https://doi.org/10.1007/s00010-017-0526-3

zbMATH Keywords

rotationsanglereflectionsMinkowski geometrynormed planeangle measureorthogonality types

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Metric geometry (51F99) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (5)

Duality of gauges and symplectic forms in vector spaces ⋮ Minkowski Geometry—Some Concepts and Recent Developments ⋮ Trigonometry in complex inner product spaces ⋮ The inverse problem on roulettes in normed planes ⋮ A perimeter-based angle measure in generalized Minkowski planes

Cites Work

• Unnamed Item
• Angles in normed spaces
• Reflections in strictly convex Minkowski planes
• Geometric algebra of strictly convex Minkowski planes
• Angle measures, general rotations, and roulettes in normed planes
• The geometry of Minkowski spaces -- a survey. II.
• Angular Measure and Integral Curvature
• The geometry of Minkowski spaces -- a survey. I

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