AUTOMORPHISMS OF CURVES

The article deals with local symmetries of the infinite-order jet space of C^∞-smooth curves in ?^m+1 (m ≥ 1). Transformations under consideration are the most general possible: they need not preserve the distinction between dependent and independent variables and the order of derivatives may be arbitrarily changed. Unlike the common prolonged point and Lie's contact transformations, they destroy the finite-order jet spaces.