Application of complex-valued functions in plane differential geometry and kinematics

2023/10/16 by Bäsel, Uwe
#51M25 #53-01 #53A04 #53A17 #70B15 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2310.10265

Abstract

In this paper, we discuss some problems of elementary plane differential geometry and kinematics. Although the results are not new, the consistent use of complex-valued functions (plane curves) of a real variable (parameter) allows to derive them ab ovo in a particularly simple, uniform and transparent way. A number of examples with figures complete the explanations.

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