Signature submanifolds for some equivalence problems

محورهای موضوعی : Global analysis, analysis on manifolds

M. Nadjakhah ¹ (Iran University of Science and Technology, Tehran, Iran)
Z. Pahlevani Tehrani ² (Iran University of Science and Technology, Tehran, Iran)

تاریخ دریافت : 1393/06/29 تاریخ پذیرش : 1393/09/24 تاریخ انتشار : 1393/09/29

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.

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