On the Principal Angles between the Osculating K-Planes of a Curve


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Abstract

For a curve of general type lying in a Euclidean space, we compute the first nonzero term in the Taylor expansion of the principal angles between the osculating k-dimensional subspaces of the curve at the points P0 and P with respect to the length of the arc between P0 and P, whenever the principal angle is not 0 identically by dimension arguments.

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