A note on isometric immersions of the Cayley projective plane and Frenet curves

A note on isometric immersions of the Cayley projective plane and Frenet curves

Hiromasa Tanabe

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 81, Number 1 (2005), 12-16.

Abstract

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.

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Primary Subjects: 53B25, 53C40

Keywords: Cayley projective plane; parallel isometric immersions; Frenet curves

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1116442083
Mathematical Reviews number (MathSciNet): MR2068484
Zentralblatt MATH identifier: 1089.53039
Digital Object Identifier: doi:10.3792/pjaa.81.12

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