What type of details about luigi bianchi can be gathered from the following bio? Bio: luigi bianchi -lrb- january 18 , 1856 -- june 6 , 1928 -rrb- 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 -lrb- sufficiently symmetric -rrb- 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 -lrb- possibly nonisotropic -rrb- 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...
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