Geodesic
On the determination of shifting operators along geodesics on a surface
Theoretical and applied mechanics, Tome 40 (2013) no. 1, p. 17

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
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
@article{10_2298_TAM1301017D,
     author = {Zoran Dra\v{s}kovi\'c},
     title = {On the determination of shifting operators along geodesics on a surface},
     journal = {Theoretical and applied mechanics},
     pages = {17 },
     year = {2013},
     volume = {40},
     number = {1},
     doi = {10.2298/TAM1301017D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM1301017D/}
}
TY  - JOUR
AU  - Zoran Drašković
TI  - On the determination of shifting operators along geodesics on a surface
JO  - Theoretical and applied mechanics
PY  - 2013
SP  - 17 
VL  - 40
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.2298/TAM1301017D/
DO  - 10.2298/TAM1301017D
LA  - en
ID  - 10_2298_TAM1301017D
ER  - 
%0 Journal Article
%A Zoran Drašković
%T On the determination of shifting operators along geodesics on a surface
%J Theoretical and applied mechanics
%D 2013
%P 17 
%V 40
%N 1
%U http://geodesic.mathdoc.fr/articles/10.2298/TAM1301017D/
%R 10.2298/TAM1301017D
%G en
%F 10_2298_TAM1301017D

Cité par Sources :