Some invariant properties of curves in the taxicab geometry

zbMath1311.51010MaRDI QIDQ2261884

İdris Ören, H. Anil Coban

Publication date: 13 March 2015

Published in: Missouri Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mjms/1418931952

zbMATH Keywords

curveinvariant parametrizationtaxicab geometry

Mathematics Subject Classification ID

Distance geometry (51K99) General theory of distance geometry (51K05) Non-Euclidean differential geometry (53A35) Differential invariants (local theory), geometric objects (53A55) Congruence and orthogonality in metric geometry (51F20) Geometry of classical groups (51N30)

Related Items (1)

Equivalence conditions of two systems of vectors in the taxicab plane and its applications to taxicab polygons

Cites Work

• The complete system of global differential and integral invariants of a curve in Euclidean geometry
• The taxicab space group
• The complete system of global integral and differential invariants for equi-affine curves.
• The Taxicab Group
• The Nature of Length, Area, and Volume in Taxicab Geometry
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