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Influenced by Cremona, Lobachevsky, Gauss and Riemann, Beltrami contributed to work in differential geometry on curves and surfaces. He is best known, however, for his 1868 paper Essay on an interpretation of non-euclidean geometry which gives a concrete realisation of the non-euclidean geometry of Lobachevsky and Bolyai and connects it with Riemann's geometry. The concrete realisation uses the surface generated by the revolution of a tractrix about its asymptote.
Beltrami also worked on optics, thermodynamics, elasticity, electricity and magnetism. His contributions to these topics appeared in the four-volume work, Opere Matematiche (1902-20), published posthumously.
References (9 books/articles)
References elsewhere in this archive:
Tell me about Beltrami's work on non-Euclidean geometry
Beltrami worked on the Tractrix
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