<p>In this paper, we study curves of constant breadth according to Serret-Frenet frame on 4-dimensional Galilean space <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1296_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {G}_4\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="double-struck">G</mi> <mn>4</mn> </msub> </math></EquationSource> </InlineEquation> and characterize these curves in terms of torsion and curvature functions. We give an example of curves of constant breadth to illustrate main results.</p>

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Curves of constant breadth in Galilean 4-space \(\mathbb {G}_4\)

  • Adama Thiandoum

摘要

In this paper, we study curves of constant breadth according to Serret-Frenet frame on 4-dimensional Galilean space \(\mathbb {G}_4\) G 4 and characterize these curves in terms of torsion and curvature functions. We give an example of curves of constant breadth to illustrate main results.