Translation of Michael Sadowsky's paper "An elementary proof for the existence of a developable Möbius band and the attribution of the geometric problem to a variational problem"

2014/08/31 by Denis F. Hinz, Eliot Fried · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Mathematics and Applications #math.HO #physics.hist-ph

paper · pdf · doi:10.1007/s10659-014-9490-5

5 pages, 3 figures, to appear in a special volume of the Journal of Elasticity entitled "The Mechanics of Ribbons and Möbius Bands", citations of this translation should refer also to Sadowsky's original paper, as cited in the Abstract

arxiv created 2014/08/31 · arxiv updated 2014/09/02 · openalex publication_date 2014/09/11 · crossref created 2014/09/11 · crossref issued 2014/09/12 · crossref published 2014/09/12 · crossref published-online 2014/09/12 · crossref published-print 2015/04/01 · openalex created_date 2016/06/24 · crossref deposited 2019/05/30 · crossref indexed 2025/12/31 · openalex updated_date 2026/07/28

Abstract

This article is a translation of Michael Sadowsky's original paper "Ein elementarer Beweis für die Existenz eines abwickelbaren Möbiusschen Bandes und die Zurückführung des geometrischen Problems auf ein Variationsproblem." which appeared in Sitzungsberichte der Preussischen Akademie der Wissenschaften, physikalisch-mathematische Klasse, 17. Juli 1930, Mitteilung vom 26. Juni, 412-415. Published on September 12, 1930.

Cited by

• Interface geometry of binary mixtures on curved substrates
• Möbius strip [wikipedia]
• Michael Sadowsky [wikipedia]

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