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G 2-Congruence theorem for curves in purely imaginary octonions and its application

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Abstract

We determine the invariant functions of curves in purely imaginary octonions Im \({\mathfrak{C}}\) up to the G 2-congruency and prove a G 2-congruence theorem of such curves. In particular, we write down G 2-invariants for helices in Im \({\mathfrak{C}}\).

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Authors and Affiliations

  1. Department of mathematics, Meijo University, Nagoya, Japan

    Misa Ohashi

  2. Osaka City University, Osaka, Japan

    Misa Ohashi

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  1. Misa Ohashi
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Correspondence to Misa Ohashi.

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Ohashi, M. G 2-Congruence theorem for curves in purely imaginary octonions and its application. Geom Dedicata 163, 1–17 (2013). https://doi.org/10.1007/s10711-012-9733-1

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  • DOI: https://doi.org/10.1007/s10711-012-9733-1

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