Geodesic
Quasigraphs
Canadian journal of mathematics, Tome 29 (1977) no. 1, pp. 1-28

Voir la notice de l'article provenant de la source Cambridge University Press

In the study of direct differential geometry, families of oriented arcs and curves have been employed extensively to define the differentiability of an arc at a point in various kinds of planes; cf. [2]. In [6], P. Scherk used lines in the projective plane; in [3] and [4], N. D. Lane and P. Scherk used circles in the conformai plane; conic-sections in the projective plane were employed in [5] and [7] by N. D. Lane and K. D. Singh; in [1], M. Gupta and N. D. Lane used the graphs of polynomials of degree at most n in the affine plane. 
Lane, Norman D.; Scherk, Peter; Turgeon, Jean M. Quasigraphs. Canadian journal of mathematics, Tome 29 (1977) no. 1, pp. 1-28. doi: 10.4153/CJM-1977-001-4
@article{10_4153_CJM_1977_001_4,
     author = {Lane, Norman D. and Scherk, Peter and Turgeon, Jean M.},
     title = {Quasigraphs},
     journal = {Canadian journal of mathematics},
     pages = {1--28},
     year = {1977},
     volume = {29},
     number = {1},
     doi = {10.4153/CJM-1977-001-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-001-4/}
}
TY  - JOUR
AU  - Lane, Norman D.
AU  - Scherk, Peter
AU  - Turgeon, Jean M.
TI  - Quasigraphs
JO  - Canadian journal of mathematics
PY  - 1977
SP  - 1
EP  - 28
VL  - 29
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-001-4/
DO  - 10.4153/CJM-1977-001-4
ID  - 10_4153_CJM_1977_001_4
ER  - 
%0 Journal Article
%A Lane, Norman D.
%A Scherk, Peter
%A Turgeon, Jean M.
%T Quasigraphs
%J Canadian journal of mathematics
%D 1977
%P 1-28
%V 29
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-001-4/
%R 10.4153/CJM-1977-001-4
%F 10_4153_CJM_1977_001_4

[1] 1. Gupta, M. and Lane, N. D., Polynomial differentiability, order and characteristic, Journal of Geometry 3 (1973), 107–164. Google Scholar

[2] 2. Haupt, O. and H. Kùnneth, Geometrische Ordnungen (Springer Verlag, Berlin, 1967). Google Scholar

[3] 3. Lane, N. D. and Scherk, P., Differentiable points in the conformai plane, Can. J. Math. 5 (1953), 512–518. Google Scholar

[4] 4. Lane, N. D. and Scherk, P. Characteristic and order of differentiable points in the conformai plane, Trans. Amer. Math. Soc. 81 (1956), 358–378. Google Scholar

[5] 5. Lane, N. D. and Singh, K. D., Conical differentiation, Can. J. Math. 16 (1964), 169–190. Google Scholar

[6] 6. Scherk, P., Uber differenzierbare Kurven und Bogen I. Zum Begriff der Characteristik, Casopis Pest. Mat. 66 (1937), 165–171. Google Scholar

[7] 7. Singh, K. D. and Lane, N. D., Characteristic and order of conically differentiable points, J. Reine Angew. Math. 224 (1966), 164–184. Google Scholar

Cité par Sources :