Signature submanifolds for some equivalence problems
محورهای موضوعی : Global analysis, analysis on manifolds
M. Nadjakhah
1
(Iran University of Science and Technology, Tehran, Iran)
Z. Pahlevani Tehrani
2
(Iran University of Science and Technology, Tehran, Iran)
کلید واژه: Signature submanifold, moving frame, equivalence problem, differential invariant,
چکیده مقاله :
This article concerned on the study of signature submanifolds for curves under Liegroup actions SE(2), SA(2) and for surfaces under SE(3). Signature submanifold is a regularsubmanifold which its coordinate components are differential invariants of an associatedmanifold under Lie group action, and therefore signature submanifold is a key for solving equivalence problems.