Translation of Michael Sadowsky's paper "The differential equations of the M\"obius band"
Denis F. Hinz, Eliot Fried
TL;DR
This paper provides a translation of Michael Sadowsky's foundational work on the differential equations governing the geometry and elasticity of the Möbius band, highlighting its mathematical properties and applications.
Contribution
It offers an English translation of Sadowsky's original 1929 paper, making his theoretical insights accessible to a broader audience.
Findings
Derives differential equations for the Möbius band
Analyzes elastic properties of the Möbius band
Connects geometry with elasticity theory
Abstract
This article is a translation of Michael Sadowsky's original paper "Die Differentialgleichungen des M\"obiusschen Bandes." in Jahresbericht der Deutschen Mathematiker-Vereinigung 39 (2. Abt. Heft 5/8, Jahresversammlung vom 16. bis 23. September), 49-51 (1929), which is a short version of his paper "Theorie der elastisch biegsamen undehnbaren B\"ander mit Anwendungen auf das M\"obiussche Band" in 3. internationaler Kongress f\"ur technische Mechanik, Stockholm, 1930.
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