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Pointwise Euclidean invariant of a curve

A scalar assignment

Q (γ, s)

is a pointwise Euclidean invariant in the weak covariance sense when it is unchanged by proper Euclidean motions and satisfies

Q (γ_{s_{0}}, s) = Q (γ, s - s_{0})

under translation of the arc-length parameter.

Table of contents 63 1
- Pointwise Euclidean invariants need not depend only on current curvature and torsion Pointwise Euclidean invariant of a curve 32

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