Luigi Bianchi

Luigi Bianchi ( born January 18, 1856 in Parma, † June 6, 1928 in Pisa ) was an Italian mathematician who primarily worked on differential geometry.

He studied in Pisa with Enrico Betti and Ulisse Dini and his friend Gregorio Ricci - Curbastro, which should be a major Differentialgeometer also and also a later colleague in Pisa was. In 1877 he graduated with honors. After his graduation, he went to the universities of Munich and Felix Klein in Göttingen. In 1881 he became a professor at his university in Pisa, the Scuola Normale Superiore, where he received a full professorship in 1890. One of his students was Guido Fubini.

In 1898, he classified the three-dimensional Lie groups of isometries ( distance - preserving mappings ) Riemannian manifolds (and thus the three-dimensional real Lie algebras ). These nine Bianchi groups played a role in the symmetry classification of cosmological solutions of general relativity later. In 1902 he discovered the Bianchi identities for the Riemann curvature tensor (which apparently already Ricci in 1880 discovered what was but forgotten even for himself ), which also play a role in the general theory of relativity ( press the conservation of energy from ). Bianchi was also involved in number theory.

Bianchi was a corresponding member of the Accademia dei Lincei in 1887 and in 1893 a full member ( socio nazionale ) selected. He gave out a long time the Annali di Matematica. In 1924 he became a senator. He was an honorary member of the London Mathematical Society.

Publications (selection)

  • Lezioni di geometria differential, 3 vols, Pisa 1894, 1902, 1909, Online, 3rd Edition 1922/23,
  • Lectures on differential geometry, Leipzig 1899
  • Bianchi's lectures on substitution groups, analytic geometry and function theory at Cornell historical math monographs
  • Lezioni sulla teoria dei gruppi di sostituzioni e delle equazioni algebriche secondo Galois, Pisa 1900
  • Lezioni sulla teoria dei gruppi continui finiti di Trasformazioni, Pisa 1900
  • Lezioni sulla teoria dei gruppi di sostituzioni e delle equazioni algebriche secondo Galois, Pisa 1899
  • Lezioni sulla teoria dei gruppi continui finiti di Trasformazioni, Pisa 1918
  • Lezioni di geometria analitica, Pisa 1915
  • Sulla teoria delle lezioni di funzioni variabile complessa e delle funzioni ellittiche, Pisa 1916
  • Lezioni sulla teoria delle forme aritmetica quadratiche binarie e tern aria, Pisa 1912
  • Lezioni sulla teoria dei numeri algebrici e principii di geometria analitica, Bologna 1923
  • Geometric representation of groups of linear substitutions with integer coefficients complexen along with application to the theory of numbers, Mathematische Annalen, Vol 38, 1891
  • Opere, Edizioni Cremonese, Rome, 11 volumes, from 1952 to 1959 ( with bibliography and analysis of his scientific work in Volume 1 of G. Scorza, Guido Fubini, AM Bedarida and G. Ricci )
Italy Scuola Normale Superiore di Pisa Dizionario Biografico degli Italiani Wilhelm Blaschke Integrated Authority File
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