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On differential rational invariants of classical motion groups

Ural BekbaevKulliyyah of Engineering, IIUM, MalaysiaI. S. RakhimovQabildjan K. MuminovFaculty of Mechanics and Mathematics, NUU, Uzbekistan

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A pure algebraic approach to differential invariants of curves and surfaces is presented. By the use of this approach the explicit formulae for the generating differential invariants and invariant differential operators for the generic curves in n-dimensional classical geometries are constructed.

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