Abstract
Explicit formulas for the generating differential invariants and invariant differential operators for curves in two- and three-dimensional centro-equi-affine and centro-affine geometry and surfaces in three-dimensional centro-equi-affine geometry are constructed using the equivariant method of moving frames. In particular, the algebra of centro-equi-affine surface differential invariants is shown to be generated by a single second order invariant.
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Submitted by N.H. Ibragimov
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Olver, P.J. Moving frames and differential invariants in centro-affine geometry. Lobachevskii J Math 31, 77–89 (2010). https://doi.org/10.1134/S1995080210020010
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DOI: https://doi.org/10.1134/S1995080210020010