Abstract
This paper aims to prove that the set {g_{ij}(x), L_{ij} (x), i, j = 1, 2} is a complete system of the SM(3)- invariants of a nondegenerate surface in R3, where {g_{ij}(x)} and {L_{ij}(x)}, 1, j = 1, 2 are the sets of all coefficients of the first and second fundamental forms of a surface x in R3. A similar result was obtained for the group M(3).
Recommended Citation
Sağıroğlu, Yasemin; Khadjiev, Djavvat; and Gözütok, Uğur
(2019).
Differential Invariants of Non-degenerate Surfaces,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 14,
Iss.
3, Article 4.
Available at:
https://digitalcommons.pvamu.edu/aam/vol14/iss3/4