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.
Beltrami's continuum mechanics in non-Euclidean spaces / Capecchi, Danilo; Ruta, Giuseppe. - In: PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS. - ISSN 1617-7061. - STAMPA. - 15:(2015), pp. 703-704. (Intervento presentato al convegno 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) tenutosi a Lecce nel 23-27 marzo 2015) [10.1002/pamm.201510341].
Beltrami's continuum mechanics in non-Euclidean spaces
CAPECCHI, Danilo;RUTA, Giuseppe
2015
Abstract
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.| File | Dimensione | Formato | |
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