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- Luigi_Bianchi abstract "Luigi Bianchi (January 18, 1856 – June 6, 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.Through the influence of Luther P. Eisenhart and Abraham Haskel Taub, Bianchi's classification later came to play an important role in the development of the theory of general relativity. Bianchi's list of nine isometry classes, which can be regarded as Lie algebras, Lie groups, or as three dimensional homogeneous (possibly nonisotropic) Riemannian manifolds, are now often called collectively the Bianchi groups.In 1902, Bianchi rediscovered what are now called the Bianchi identities for the Riemann tensor, which play an even more important role in general relativity. (They are essential for understanding the Einstein field equation.) According to Tullio Levi-Civita, these identities had first been discovered by Ricci in about 1880, but Ricci apparently forgot all about the matter, which led to Bianchi's rediscovery.".
- Luigi_Bianchi almaMater Scuola_Normale_Superiore_di_Pisa.
- Luigi_Bianchi birthDate "1856-01-18".
- Luigi_Bianchi birthPlace Emilia-Romagna.
- Luigi_Bianchi birthPlace Parma.
- Luigi_Bianchi deathDate "1928-06-06".
- Luigi_Bianchi deathPlace Pisa.
- Luigi_Bianchi doctoralAdvisor Enrico_Betti.
- Luigi_Bianchi doctoralAdvisor Ulisse_Dini.
- Luigi_Bianchi doctoralStudent Giovanni_Sansone.
- Luigi_Bianchi doctoralStudent Guido_Fubini.
- Luigi_Bianchi doctoralStudent Luigi_Fantappiè.
- Luigi_Bianchi doctoralStudent Mauro_Picone.
- Luigi_Bianchi field Mathematics.
- Luigi_Bianchi knownFor Bianchi_group.
- Luigi_Bianchi knownFor Curvature_form.
- Luigi_Bianchi nationality Italy.
- Luigi_Bianchi thumbnail Luigi_Bianchi.jpg?width=300.
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- Luigi_Bianchi wikiPageWikiLink Abraham_H._Taub.
- Luigi_Bianchi wikiPageWikiLink Bernhard_Riemann.
- Luigi_Bianchi wikiPageWikiLink Bianchi_classification.
- Luigi_Bianchi wikiPageWikiLink Bianchi_group.
- Luigi_Bianchi wikiPageWikiLink Category:1856_births.
- Luigi_Bianchi wikiPageWikiLink Category:1928_deaths.
- Luigi_Bianchi wikiPageWikiLink Category:19th-century_Italian_mathematicians.
- Luigi_Bianchi wikiPageWikiLink Category:20th-century_Italian_mathematicians.
- Luigi_Bianchi wikiPageWikiLink Category:20th-century_Italian_politicians.
- Luigi_Bianchi wikiPageWikiLink Category:Differential_geometers.
- Luigi_Bianchi wikiPageWikiLink Category:Italian_mathematicians.
- Luigi_Bianchi wikiPageWikiLink Category:People_from_Parma.
- Luigi_Bianchi wikiPageWikiLink Category:Senators_of_the_Kingdom_of_Italy.
- Luigi_Bianchi wikiPageWikiLink Curvature_form.
- Luigi_Bianchi wikiPageWikiLink Differential_geometry.
- Luigi_Bianchi wikiPageWikiLink Einstein_field_equations.
- Luigi_Bianchi wikiPageWikiLink Emilia-Romagna.
- Luigi_Bianchi wikiPageWikiLink Enrico_Betti.
- Luigi_Bianchi wikiPageWikiLink Felix_Klein.
- Luigi_Bianchi wikiPageWikiLink Function_(mathematics).
- Luigi_Bianchi wikiPageWikiLink General_relativity.
- Luigi_Bianchi wikiPageWikiLink Giovanni_Sansone.
- Luigi_Bianchi wikiPageWikiLink Gregorio_Ricci-Curbastro.
- Luigi_Bianchi wikiPageWikiLink Group_action.
- Luigi_Bianchi wikiPageWikiLink Guido_Fubini.
- Luigi_Bianchi wikiPageWikiLink Isometry.
- Luigi_Bianchi wikiPageWikiLink Isomorphism.
- Luigi_Bianchi wikiPageWikiLink Italian_school_of_algebraic_geometry.
- Luigi_Bianchi wikiPageWikiLink Italians.
- Luigi_Bianchi wikiPageWikiLink Italy.
- Luigi_Bianchi wikiPageWikiLink Lie_algebra.
- Luigi_Bianchi wikiPageWikiLink Lie_group.
- Luigi_Bianchi wikiPageWikiLink Luigi_Fantappiè.
- Luigi_Bianchi wikiPageWikiLink Luther_P._Eisenhart.
- Luigi_Bianchi wikiPageWikiLink Mathematician.
- Luigi_Bianchi wikiPageWikiLink Mathematics.
- Luigi_Bianchi wikiPageWikiLink Mauro_Picone.
- Luigi_Bianchi wikiPageWikiLink Parma.
- Luigi_Bianchi wikiPageWikiLink Pisa.
- Luigi_Bianchi wikiPageWikiLink Riemann_curvature_tensor.
- Luigi_Bianchi wikiPageWikiLink Riemannian_manifold.
- Luigi_Bianchi wikiPageWikiLink Scuola_Normale_Superiore_di_Pisa.
- Luigi_Bianchi wikiPageWikiLink Sophus_Lie.
- Luigi_Bianchi wikiPageWikiLink Topology.
- Luigi_Bianchi wikiPageWikiLink Tullio_Levi-Civita.
- Luigi_Bianchi wikiPageWikiLink Ulisse_Dini.
- Luigi_Bianchi wikiPageWikiLinkText "Bianchi".
- Luigi_Bianchi wikiPageWikiLinkText "Bianchi, Luigi".
- Luigi_Bianchi wikiPageWikiLinkText "L. Bianchi".
- Luigi_Bianchi wikiPageWikiLinkText "Luigi Bianchi".
- Luigi_Bianchi almaMater "Scuola Normale Superiore".
- Luigi_Bianchi birthDate "1856-01-18".
- Luigi_Bianchi birthPlace Emilia-Romagna.
- Luigi_Bianchi birthPlace Parma.
- Luigi_Bianchi deathDate "1928-06-06".
- Luigi_Bianchi deathPlace Pisa.
- Luigi_Bianchi doctoralAdvisor Enrico_Betti.
- Luigi_Bianchi doctoralAdvisor Ulisse_Dini.
- Luigi_Bianchi doctoralStudents Giovanni_Sansone.
- Luigi_Bianchi doctoralStudents Guido_Fubini.
- Luigi_Bianchi doctoralStudents Luigi_Fantappiè.
- Luigi_Bianchi doctoralStudents Mauro_Picone.
- Luigi_Bianchi fields Mathematics.
- Luigi_Bianchi first "Ettore".
- Luigi_Bianchi imageSize "180".
- Luigi_Bianchi knownFor Bianchi_group.
- Luigi_Bianchi knownFor Curvature_form.
- Luigi_Bianchi last "Carruccio".
- Luigi_Bianchi nationality Italy.