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Beltrami's continuum mechanics in non‐Euclidean spaces
Author(s) -
Capecchi Danilo,
Ruta Giuseppe
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510341
Subject(s) - euclidean geometry , euclidean space , elasticity (physics) , mathematics , non euclidean geometry , classical mechanics , continuum mechanics , physics , theoretical physics , mathematical analysis , geometry , thermodynamics
Eugenio Beltrami investigated if ambient space, where physical phenomena occur, is Euclidean: such a subject was trendy in the mathematical scientific community at the end of the 19th century. Beltrami, along with Riemann, was interested also on how non‐Euclidean geometry affects elasticity and electro‐magnetism. Beltrami opened new paths for mathematical physics; his pupils Ernesto Cesaro, Ernesto Padova, Carlo Somigliana also studied elasticity in non‐Euclidean spaces. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)