Intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Galilean space

DOI10.1016/S0252-9602(13)60031-4zbMath1299.53024OpenAlexW2118795069MaRDI QIDQ2437146

Tevfik Şahin

Publication date: 28 February 2014

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(13)60031-4

zbMATH Keywords

variational problemgeodesicintrinsic formulationGalilean spacegeneralized relaxed elastic line

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geodesics in global differential geometry (53C22) Non-Euclidean differential geometry (53A35) Differential invariants (local theory), geometric objects (53A55)

Related Items (8)

On geometry of isophote curves in Galilean space ⋮ A mathematical interpretation on special tube surfaces in Galilean 3-space ⋮ Motions of curves in the pseudo-Galilean space \(\mathbb{G}_3^1\) ⋮ Special Smarandache Curves with Respect to Darboux Frame in the Galilean 3-Space ⋮ Relaxed Elastic Line On An Oriented Surface In The Galilean Space ⋮ Position vectors of curves with recpect to Darboux frame in the Galilean space G³ ⋮ Unnamed Item ⋮ TUBULAR SURFACES WITH DARBOUX FRAME IN GALILEAN 3-SPACE

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