We give a characterization of the first standard imbedding of the Cayley projective plane into a real space form in terms of a particular class of Frenet curves of order 2.
"A note on isometric immersions of the Cayley projective plane and Frenet curves." Proc. Japan Acad. Ser. A Math. Sci. 81 (1) 12 - 16, Jan. 2005. https://doi.org/10.3792/pjaa.81.12