Affine geometry of curves

In the mathematical field of differential geometry, the affine geometry of curves is the study of curves in an affine space, and specifically the properties of such curves which are invariant under the special affine group SL ( n , R ) ⋉ R n . {\displaystyle {\mbox{SL}}(n,\mathbb {R} )\ltimes \mathbb {R} ^{n}.} In the classical Euclidean geometry of curves, the fundamental tool is the Frenet–Serret frame.

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