Abstract:
The solution of the equivalence problem of curves with values in
Riemannian manifold is discussed. Also domain of validity of Frents
theorem is shown to be the spaces of constant curvature.
Also we investigate that there are two important classes of curves,
namely , Frents curves and curves in normal position which are coincide in
dimensions 4 only.
A sharp bound for asymptotic stabillity of differential invariants is
illustrated, also the complete system of invariants is characterized, and
different examples are analyzed in detail.
