Luigi Bianchi
| Luigi Bianchi | |
|---|---|
 |
|
| Born |
18 January 1856 Parma, Emilia-Romagna |
| Died | 6 June 1928 (aged 72) Pisa |
| Nationality | Italian |
| Fields | Mathematics |
| Institutions | Scuola Normale Superiore |
| Alma mater | Scuola Normale Superiore |
| Doctoral advisor |
Enrico Betti Ulisse Dini |
| Doctoral students |
Luigi Fantappiè Guido Fubini Mauro Picone Giovanni Sansone |
| Known for |
Bianchi identities Bianchi group |
Luigi Bianchi (18 January 1856 – 6 June 1928) was an Italian mathematician. He was born in Parma, Emilia-Romagna, and died in Pisa. He was a leading member of the vigorous geometric school which flourished in Italy during the later years of the 19th century and the early years of the twentieth century.
Like his friend and colleague Gregorio Ricci-Curbastro, Bianchi studied at the Scuola Normale Superiore in Pisa under Enrico Betti, a leading differential geometer who is today best remembered for his seminal contributions to topology, and Ulisse Dini, a leading expert on function theory. Bianchi was also greatly influenced by the geometrical ideas of Bernhard Riemann and by the work on transformation groups of Sophus Lie and Felix Klein. Bianchi became a professor at the Scuola Normale Superiore in Pisa in 1896, where he spent the remainder of his career. At Pisa, his colleagues included the talented Ricci. In 1890, Bianchi and Dini supervised the dissertation of the noted analyst and geometer Guido Fubini.
In 1898, Bianchi worked out the Bianchi classification of nine possible isometry classes of three-dimensional Lie groups of isometries of a (sufficiently symmetric) Riemannian manifold. As Bianchi knew, this is essentially the same thing as classifying, up to isomorphism, the three-dimensional real Lie algebras. This complements the earlier work of Lie himself, who had earlier classified the complex Lie algebras.
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