31:
343:. 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
788:
540:, (4), Vol. V (first half-year, 1889, p. 176). They were then forgotten even by Ricci himself. BIANCHI rediscovered them and published a proof obtained by direct calculation in 1902 (
422:
370:, these identities had first been discovered by Ricci in about 1889, but Ricci apparently forgot all about the matter, which led to Bianchi's rediscovery. However, the
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726:
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773:
768:
783:
684:
214:
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559:"Zur Theorie der Transformation quadratischer Differentialausdrücke und der Krümmung höherer Mannigfaltigketien"
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476:
371:
621:
758:
497:
398:
703:(Villanova University) offers translations of some of Bianchi's papers, plus a biography of Bianchi.
339:, Bianchi's classification later came to play an important role in the development of the theory of
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282:
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in 1896, where he spent the remainder of his career. At Pisa, his colleagues included the talented
274:
230:
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141:
351:
363:
706:
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114:
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700:
262:
242:
753:
748:
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Lezioni sulla teoria dei gruppi di sostituzioni e delle equazioni algebriche secondo Galois
443:
Lezioni sulla teoria dei gruppi di sostituzioni e delle equazioni algebriche secondo Galois
285:. In 1890, Bianchi and Dini supervised the dissertation of the noted analyst and geometer
8:
336:
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309:
217:
during the later years of the 19th century and the early years of the twentieth century.
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367:
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340:
110:
721:
Lezioni sulla teoria delle funzioni di variabile complessa e delle funzioni ellittiche
641:
449:
Lezioni sulla teoria delle funzioni di variabile complessa e delle funzioni ellittiche
167:
680:
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Where in the footnote one can read: These identities were staded without proof by
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106:
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312:. As Bianchi knew, this is essentially the same thing as classifying, up to
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Lezioni sulla teoria dei numeri algebrici e principi d'aritmetica analitica
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175:
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153:
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157:
131:
574:
554:
379:
321:
266:
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558:
305:
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246:
195:
257:. Bianchi was also greatly influenced by the geometrical ideas of
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Annali della Scuola
Normale Superiore di Pisa - Classe di Scienze
457:
Lezioni sulla teoria dei gruppi continui finiti di trasformazioni
374:, which are sufficient for the proof that the divergence of the
679:. Vol. 2. New York: Charles Scribner's Sons. p. 121.
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245:
who is today best remembered for his seminal contributions to
202:
84:
51:
789:
Members of the Göttingen
Academy of Sciences and Humanities
498:"Sui simboli a quattro indici e sulla curvatura di Riemann"
427:(in Italian), vol. primo (1893−1900), Pisa: E. Spoerri
399:"Sui simboli a quattro indici e sulla curvatura di Riemann"
278:
234:
210:
73:
710:
526:. London & Glasgow: Blackie & Son. p. 182.
350:
In 1902, Bianchi rediscovered what are now called the
424:Lezioni di geometria differenziale (three volumes)
673:Carruccio, Ettore (1970–1980). "Bianchi, Luigi".
544:., (5), Vol. XI (first half-year, 1902, pp. 3-7).
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532:, on the strength of a verbal communication of
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518:
454:
779:Members of the Senate of the Kingdom of Italy
362:. (They are essential for understanding the
358:, which play an even more important role in
707:Lezioni di geometria differenziale (3 vol.)
536:(cf. 'Sulle deformazioni infinitesime', in
639:
598:
215:geometric school which flourished in Italy
213:. He was a leading member of the vigorous
29:
716:Lezioni sulla teoria dei numeri algebrici
711:Gallica, Bibliothèque Nationale de France
620:O'Connor, J. J. & Robertson, E. F.
495:
396:
378:always vanishes, had been published by
320:. This complements the earlier work of
194:(18 January 1856 – 6 June 1928) was an
741:
733:Vorlesungen über differentialgeometrie
435:Vorlesungen über Differentialgeometrie
431:
420:
599:Hilton, H. (1929). "Luigi Bianchi".
553:
273:. Bianchi became a professor at the
774:20th-century Italian mathematicians
769:19th-century Italian mathematicians
547:
13:
676:Dictionary of Scientific Biography
666:
524:The Absolute Differential Calculus
438:(in German), Leipzig: B.G. Teubner
14:
800:
694:
459:. Pisa: E. Spoerri. OCLC 4383253.
324:, who had earlier classified the
784:20th-century Italian politicians
292:In 1898, Bianchi worked out the
385:
538:Rend. della R. Acc. dei Lincei
512:
489:
308:of a (sufficiently symmetric)
225:Like his friend and colleague
1:
661:Mathematics Genealogy Project
642:"In memoria di Luigi Bianchi"
482:
477:Contracted Bianchi identities
372:contracted Bianchi identities
316:, the three-dimensional real
300:classes of three-dimensional
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735:(PDF/DjVu at archive.org)
331:Through the influence of
229:, Bianchi studied at the
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626:MacTutor History Archive
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275:Scuola Normale Superiore
231:Scuola Normale Superiore
227:Gregorio Ricci-Curbastro
142:Scuola Normale Superiore
94:Scuola Normale Superiore
496:Bianchi, Luigi (1902),
455:Bianchi, Luigi (1918).
432:Luigi, Bianchi (1899),
421:Luigi, Bianchi (1894),
397:Bianchi, Luigi (1902),
364:Einstein field equation
764:Differential geometers
613:10.1112/jlms/s1-4.1.79
502:Rend. Acc. Naz. Lincei
403:Rend. Acc. Naz. Lincei
294:Bianchi classification
253:, a leading expert on
103:Bianchi classification
563:Mathematische Annalen
263:transformation groups
243:differential geometer
16:Italian mathematician
729:(Images at Cornell)
723:(Images at Cornell)
640:Scorza, G. (1930).
601:J. London Math. Soc
337:Abraham Haskel Taub
333:Luther P. Eisenhart
310:Riemannian manifold
261:and by the work on
648:. 1 (in Italian).
575:10.1007/bf01446384
368:Tullio Levi-Civita
360:general relativity
352:Bianchi identities
341:general relativity
111:Bianchi identities
759:People from Parma
701:Robert T. Jantzen
686:978-0-684-10114-9
366:.) According to
296:of nine possible
201:. He was born in
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164:Doctoral students
122:Scientific career
115:Bianchi transform
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180:Giovanni Sansone
149:Doctoral advisor
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667:Further reading
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48:18 January 1856
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345:Bianchi groups
328:Lie algebras.
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207:Emilia-Romagna
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99:Known for
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709:PDF copy at
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629:. Retrieved
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386:Publications
349:
330:
325:
318:Lie algebras
291:
287:Guido Fubini
241:, a leading
239:Enrico Betti
224:
191:
190:
176:Mauro Picone
172:Guido Fubini
154:Enrico Betti
138:Institutions
121:
68:(1928-06-06)
754:1928 deaths
749:1856 births
445:, Pisa 1899
322:Lie himself
314:isomorphism
271:Felix Klein
251:Ulisse Dini
158:Ulisse Dini
132:Mathematics
81:Nationality
66:6 June 1928
743:Categories
652:(2): 3–27.
483:References
380:Aurel Voss
306:isometries
302:Lie groups
267:Sophus Lie
44:1856-01-18
607:: 79–80.
583:122828265
382:in 1880.
221:Biography
631:July 10,
557:(1880),
555:Voss, A.
522:(1926).
508:(5): 3–7
471:See also
409:(5): 3–7
391:Articles
354:for the
298:isometry
247:topology
659:at the
593:Sources
326:complex
196:Italian
85:Italian
683:
581:
530:PADOVA
466:, 1921
249:, and
237:under
128:Fields
579:S2CID
534:RICCI
415:Books
283:Ricci
203:Parma
52:Parma
681:ISBN
633:2005
542:Ibid
451:1916
335:and
279:Pisa
269:and
235:Pisa
211:Pisa
74:Pisa
63:Died
38:Born
609:doi
571:doi
304:of
277:in
265:of
233:in
745::
644:.
624:.
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577:,
567:16
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506:11
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407:11
401:,
347:.
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689:.
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635:.
615:.
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42:(
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