Signature submanifolds for some equivalence problems

Subject Areas : Global analysis, analysis on manifolds

M. Nadjakhah ¹ , Z. Pahlevani Tehrani ²

1 - Iran University of Science and Technology, Tehran, Iran
2 - Iran University of Science and Technology, Tehran, Iran

Received: 2014-09-20 Accepted : 2014-12-15 Published : 2014-12-20

Keywords: Signature submanifold, moving frame, equivalence problem, differential invariant,

Abstract :

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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