Abstract
We show a formula for curvatures of curves in a semi-Euclidean space (or pseudo-sphere) with respect to Frenet–Serre type frame in terms of volumes. We also investigate versality of height unfolding and distance squared unfolding for a curve.
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T. Fukui was partially supported by Grant-in-Aid in Sciences 24540067.
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Fukui, T., Pei, D. Curvature for curves in semi-Euclidean spaces. J. Geom. 107, 663–683 (2016). https://doi.org/10.1007/s00022-015-0309-8
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DOI: https://doi.org/10.1007/s00022-015-0309-8