Open Access
2013 Extrinsically flat Möbius strips on given knots in 3-dimensional spaceform
Kosuke Naokawa
Tohoku Math. J. (2) 65(3): 341-356 (2013). DOI: 10.2748/tmj/1378991020

Abstract

We classify the topology of closed extrinsically flat strips which contain a given knot in a 3-dimensional spaceform. This is a refinement and generalization of results of Chicone-Kalton and Røgen.

Citation

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Kosuke Naokawa. "Extrinsically flat Möbius strips on given knots in 3-dimensional spaceform." Tohoku Math. J. (2) 65 (3) 341 - 356, 2013. https://doi.org/10.2748/tmj/1378991020

Information

Published: 2013
First available in Project Euclid: 12 September 2013

zbMATH: 1284.53007
MathSciNet: MR3102539
Digital Object Identifier: 10.2748/tmj/1378991020

Subjects:
Primary: 53A05

Keywords: Chebyshev space , Extrinsically flat surface , Möbius strip , twisting number

Rights: Copyright © 2013 Tohoku University

Vol.65 • No. 3 • 2013
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