Geodesic
On the determination of shifting operators along geodesics on a surface
Theoretical and applied mechanics, Tome 40 (2013) no. 1, p. 17 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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A procedure to obtain a closed form of the shifting operators along a known geodesic line on a surface as a solution of a system of linear algebraic equations is proposed. Its correctness is numerically demonstrated in the case of a helicoid surface and a spherical one. The future use of these operators in finite element approximations of tensor fields in non-Euclidean spaces is announced.
DOI : 10.2298/TAM1301017D
Classification : 53A35 53C22
Keywords: surface, geodesic line, parallel transport, shifting operators 
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     author = {Zoran Dra\v{s}kovi\'c},
     title = {On the determination of shifting operators along geodesics on a surface},
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     year = {2013},
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     doi = {10.2298/TAM1301017D},
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Zoran Drašković. On the determination of shifting operators along geodesics on a surface. Theoretical and applied mechanics, Tome 40 (2013) no. 1, p. 17 . doi: 10.2298/TAM1301017D

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