Beltrami's continuum mechanics in non-Euclidean spaces |
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| Authors: | Danilo Capecchi Giuseppe Ruta |
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| Affiliation: | Department of Structural and Geotechnical Engineering, University “La Sapienza”, Rome, Italy |
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| 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. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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