The origins of the fundamental theorem of surface theory

DOI10.1016/j.hm.2022.09.001zbMath1505.01037OpenAlexW4308403714MaRDI QIDQ2105844

Alberto Cogliati, Rachele Rivis

Publication date: 8 December 2022

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.hm.2022.09.001

zbMATH Keywords

surface theoryfundamental theorem of surface theoryMainardi-Codazzi equationsapplicability problemGrand Prix des Mathématiques

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) History of differential geometry (53-03) History of mathematics in the 19th century (01A55)

Cites Work

• Die Geschichte der Differentialgeometrie von Gauß\ bis Riemann (1828--1868)
• Karl M. Peterson: The earliest derivation of the Mainardi-Codazzi equations and the fundamental theorem of surface theory
• On Jacobi's remarkable curve theorem
• Sulla ricezione del Theorema Egregium, 1828-1868
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