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Open Access Original Articles

On the Bour’s Theorem with Respect to Conformal Map in Minkowski Space

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pp. 149–172Vol. 10Issue 2November 2012DOI: 10.1080/1726037X.2012.10698617XML
Received:
11 May 2012
Accepted:
28 Oct 2012
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2012.10698617
Pages:
149–172

Abstract

A generalized helicoid and a rotational surface have a isometric relation by Bour’s theorem. It is that ”A generalized helicoid is isometric to a rotational surface. Hence, helices on the helicoid correspond to parallel circles on the rotational surface under the isometric transformation.

Keywords

References

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