Open Access
December 1996 On proper helices and extrinsic spheres in pseudo-Riemannian geometry
Takahisa Kimura, Naoyuki Koike, Hwa Hon Song Song
Tsukuba J. Math. 20(2): 263-280 (December 1996). DOI: 10.21099/tkbjm/1496163081

Abstract

In this paper, we define the notion of a proper helix of order $d$ in a pseudo-Riemannian manifold and investigate those curves in a totally umbilical pseudo-Riemannian submanifold.

Citation

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Takahisa Kimura. Naoyuki Koike. Hwa Hon Song Song. "On proper helices and extrinsic spheres in pseudo-Riemannian geometry." Tsukuba J. Math. 20 (2) 263 - 280, December 1996. https://doi.org/10.21099/tkbjm/1496163081

Information

Published: December 1996
First available in Project Euclid: 30 May 2017

zbMATH: 0886.53021
MathSciNet: MR1422620
Digital Object Identifier: 10.21099/tkbjm/1496163081

Rights: Copyright © 1996 University of Tsukuba, Institute of Mathematics

Vol.20 • No. 2 • December 1996
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