Tohoku Mathematical Journal
2013
September
SECOND SERIES VOL. 65, NO. 3

Tohoku Math. J.
65 (2013), 341-356

Title EXTRINSICALLY FLAT MÖBIUS STRIPS ON GIVEN KNOTS IN 3-DIMENSIONAL SPACEFORM

Author Kosuke Naokawa

(Received February 16, 2012, revised October 9, 2012)
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.

Mathematics Subject Classification. Primary 53A05.
Key words and phrases. Extrinsically flat surface, Möbius strip, twisting number, Chebyshev space.

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