On the role of virtual work in Levi-Civita's parallel transport

DOI10.1007/s00407-016-0177-0zbMath1352.01014OpenAlexW2289150535WikidataQ59151436 ScholiaQ59151436MaRDI QIDQ332279

Giuseppe Iurato, Giuseppe Claudio Ruta

Publication date: 28 October 2016

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

Full work available at URL: https://doi.org/10.1007/s00407-016-0177-0

zbMATH Keywords

principle of virtual workgeometrical computation of curvatureparallelism in arbitrary Riemannian manifoldTullio Levi-Civita

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of differential geometry (53-03)

Related Items (1)

Schouten, Levi-Civita and the notion of parallelism in Riemannian geometry

Cites Work

• Beltrami and mathematical physics in non-Euclidean spaces
• Cerruti's treatment of linear elastic trusses
• Toward a scientific and personal biography of Tullio Levi-Civita (1873--1941)
• Ether and theory of elasticity in Beltrami's work
• A historical perspective of Menabrea's theorem in elasticity
• Strength of materials and theory of elasticity in 19th century Italy. A brief account of the history of mechanics of solids and structures
• Piola's contribution to continuum mechanics
• At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola
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