Interactions between mechanics and differential geometry in the \(19^{th}\) century

DOI10.1007/BF00374699zbMath0834.01007OpenAlexW2318003355WikidataQ56506420 ScholiaQ56506420MaRDI QIDQ1897790

Jesper Luetzen

Publication date: 18 October 1995

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00374699

zbMATH Keywords

trajectoriesgeodesicsLipschitzopticsprinciple of least action\(n\)-dimensional geometrynon-Euclidean dynamics

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55)

Related Items (3)

On some contributions to field theory in the calculus of variations from Beltrami to Carathéodory ⋮ Eisenhart lift of Koopman-von Neumann mechanics ⋮ Projective dynamics and classical gravitation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ether and theory of elasticity in Beltrami's work
• Die Geschichte der Differentialgeometrie von Gauß\ bis Riemann (1828--1868)
• On Helmholtz' paper ``Über die thatsächlichen Grundlagen der Geometrie
• Oscar II's prize competition and the error in Poincaré's memoir on the three body problem
• Poincaré's discovery of homoclinic points
• The missing link: Riemann's ``Commentatio, differential geometry and tensor analysis
• The mathematical technique in Fermat's deduction of the law of refraction
• XXIX. On the analytical theory of the conic
• C. G. J. Jacobis Vermächtnis einer ‘konventionalen’ analytischen Mechanik: Vorgeschichte, Nachschriften und Inhalt seiner letzten Mechanik-Vorlesung

This page was built for publication: Interactions between mechanics and differential geometry in the \(19^{th}\) century