Open Access
Jan. 2005 A note on isometric immersions of the Cayley projective plane and Frenet curves
Hiromasa Tanabe
Proc. Japan Acad. Ser. A Math. Sci. 81(1): 12-16 (Jan. 2005). DOI: 10.3792/pjaa.81.12

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.

Citation

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Hiromasa Tanabe. "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

Information

Published: Jan. 2005
First available in Project Euclid: 18 May 2005

zbMATH: 1089.53039
MathSciNet: MR2068484
Digital Object Identifier: 10.3792/pjaa.81.12

Subjects:
Primary: 53B25 , 53C40

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

Rights: Copyright © 2005 The Japan Academy

Vol.81 • No. 1 • Jan. 2005
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