256:
383:, Kähler was able to study mathematics during this time, receiving books and mathematics papers and working during his imprisonment. He was released in 1947. He reported that his oath to Hitler (as a civil servant) was important to him, and remained an apologist for the Third Reich decades later, in a 1988 interview with Sanford Segal. A former student reported in 1988 that he kept a Nazi navy flag in his office.
38:
286:
that his mother Elsa Götsch had given to him, the young Kähler soon focused his passion for exploration on astronomy. He is said to have written a 50-page thesis on fractional differentiation while still in high school, hoping that it would earn him a PhD. His teachers replied that he would have to
386:
After his release as a prisoner of war Kähler returned to the
University of Hamburg to take up a temporary lectureship. He accepted a professorship in 1948 at his alma mater the University of Leipzig, filling a post that had been left open by the death of
403:
died in 1962. His wife Luise became ill and died in 1970, and Kähler married his second wife
Charlotte Schulze, who was the widow of his brother who had died in the war. Kähler remained at the University of Hamburg until his retirement in 1974.
358:
Kähler was a supporter of Hitler and of German nationalism, and reported that he volunteered for the German military in 1935, joined the navy in 1937, and the army on 24 August 1939 before the invasion of Poland. After being stationed at the
399:. There he was heralded as among the greatest living mathematicians, and his lectures overflowed with 600 students from engineering and the sciences. In 1964 he returned to the University of Hamburg to fill the post that opened when
214:Über die Existenz von Gleichgewichtsfiguren, die sich aus gewissen Lösungen des n-Körperproblems ableiten (On the existence of equilibrium solutions of rotating liquids, which are derived from certain solutions of the n-body problem)
346:
in 1931-1932, which led him to publish his acclaimed work on what are now called Kähler metrics in 1932. Kähler returned to
Hamburg after his year in Rome, where he continued to work until going to the
391:
in 1945. But in this same year, Soviet occupation authorities began transferring administrative in the region to German communist leaders, and from
October 1949 the region was a part of newly-formed
257:
407:
After retiring Kähler remained an active researcher, writing a number of important papers on the foundations of physics and the
Poincaré group, as well as a number of philosophical papers.
364:
823:
818:
828:
395:. Kähler became increasingly unhappy with life in East Germany over the next decade, finally deciding to leave in 1958 to take up a lectureship at
160:
282:
Erich Kähler was born in
Leipzig, the son of a telegraph inspector Ernst Kähler. Inspired as a boy to be an explorer after reading books about
148:
813:
783:
330:
thesis entitled, "About the integrals of algebraic equations". He took a year in Rome to work with
Italian geometers including Enriques,
803:
798:
140:
308:
On the existence of equilibrium solutions of rotating liquids, which are derived from certain solutions of the n-body problem
315:
319:
322:
in 1929. In 1930 Kähler joined the
Department of Mathematics at the University of Hamburg to work under the direction of
808:
729:
670:
689:
793:
396:
351:
in 1935, and was offered an ordinary professorship a year later. In 1938 he married his first wife Luise Günther.
200:
266:
with wide-ranging interests in geometry and mathematical physics, who laid important mathematical groundwork for
758:
531:
521:
788:
360:
156:
416:
122:
114:
19:
This article is about the German mathematician. For the Czech-American literary scholar and essayist, see
348:
192:
376:
367:
towards the end of the war, Kähler was captured by the Allies and taken to the prisoner of war camp at
536:
314:
in 1928. He continued his studies at
Leipzig for the following year, supported by fellowship from the
144:
526:
501:
250:
506:
496:
516:
439:
plays a part, and Kähler counts as a major developer of the theory from its formal genesis with
428:
110:
291:
196:
188:
100:
587:
563:
778:
773:
748:
484:
152:
8:
480:
636:
432:
335:
267:
213:
511:
446:
118:
725:
666:
640:
628:
454:
436:
331:
303:
230:
620:
473:
450:
424:
339:
323:
225:
461:
so that the three structures are mutually compatible — are named after him.
420:
719:
660:
458:
343:
306:. Still fascinated by celestial mechanics, Kähler wrote a dissertation entitled
368:
440:
380:
767:
632:
431:, which provide a purely algebraic theory and have generally been adopted in
295:
271:
263:
58:
754:
611:
Kähler, Erich (1933-12-01). "Über eine bemerkenswerte
Hermitesche Metrik".
469:
392:
355:
327:
20:
697:
178:
419:
on solutions of non-linear analytic differential systems; the idea of a
624:
465:
400:
388:
299:
283:
415:
As a mathematician Kähler is known for a number of contributions: the
311:
37:
613:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
372:
54:
207:
80:
487:
theory, though his ideas on that were never widely adopted.
751:
International Who's Who. accessed September 3, 2006.
824:
Members of the German Academy of Sciences at Berlin
588:"The Mathematics Genealogy Project - Erich Kähler"
568:mathshistory.st-andrews.ac.uk/Biographies/Kahler/
765:
161:Istituto Lombardo Accademia di Scienze e Lettere
819:Academic staff of Technische Universität Berlin
262:; 16 January 1906 – 31 May 2000) was a German
149:German National Academy of Sciences Leopoldina
318:, except for a research assistantship at the
316:Notgemeinschaft der Deutschen Wissenschaften
302:, and did research under the supervision of
829:Academic staff of the University of Hamburg
724:(in German). Walter de Gruyter. p. 8.
36:
721:Mathematische Werke / Mathematical Works
141:Saxon Academy of Sciences and Humanities
483:; and he was one of the forerunners of
766:
717:
610:
658:
277:
249:
814:Academic staff of Leipzig University
684:
682:
654:
652:
650:
558:
556:
554:
552:
13:
784:20th-century German mathematicians
14:
840:
799:People from the Kingdom of Saxony
679:
647:
592:www.genealogy.math.ndsu.nodak.edu
549:
375:. Thanks to the French physicist
287:attend university courses first.
659:Segal, Sanford L. (2014-11-23).
435:. In all of these the theory of
410:
132:Luise Günther, Charlotte Schulze
804:University of Königsberg alumni
711:
665:. Princeton University Press.
662:Mathematicians under the Nazis
604:
580:
371:, and then to another camp in
1:
759:Mathematics Genealogy Project
542:
397:Technische Universität Berlin
201:Technische Universität Berlin
42:Erich Kähler in Hamburg, 1990
718:Kähler, Erich (2003-01-01).
522:Kähler–Einstein metric
361:Saint-Nazaire submarine base
157:Hamburg Mathematical Society
7:
490:
417:Cartan–Kähler theorem
354:In the years leading up to
115:Cartan–Kähler theorem
10:
845:
742:
532:Quaternion-Kähler manifold
18:
809:Leipzig University alumni
236:
224:
206:
184:
174:
167:
145:Berlin Academy of Science
136:
128:
106:
96:
88:
65:
47:
35:
28:
502:Complex Poisson manifold
479:His earlier work was on
349:University of Konigsberg
320:University of Königsberg
298:, met the mathematician
193:University of Königsberg
794:Scientists from Leipzig
537:Special Kähler geometry
497:Almost complex manifold
290:Kähler enrolled in the
527:Nearly Kähler manifold
507:Hyper-Kähler manifold
377:Frederic Joliot-Curie
292:University of Leipzig
197:University of Hamburg
189:University of Leipzig
123:Dirac–Kähler equation
101:University of Leipzig
517:Hyperkähler quotient
429:Kähler differentials
153:Accademia dei Lincei
16:German mathematician
789:Algebraic geometers
749:KÄHLER, Erich Ernst
481:celestial mechanics
310:, and received his
111:Kähler differential
625:10.1007/BF02940642
564:"Kahler biography"
437:differential forms
433:algebraic geometry
379:and mathematician
278:Education and life
268:algebraic geometry
455:Riemannian metric
451:complex manifolds
425:complex manifolds
304:Leon Lichtenstein
294:in 1924. He read
240:
239:
231:Leon Lichtenstein
169:Scientific career
836:
736:
735:
715:
709:
708:
706:
705:
696:. Archived from
686:
677:
676:
656:
645:
644:
608:
602:
601:
599:
598:
584:
578:
577:
575:
574:
560:
447:Kähler manifolds
324:Wilhelm Blaschke
261:
260:
259:
253:
251:[ˈkɛːlɐ]
248:
226:Doctoral advisor
220:
76:
74:
40:
26:
25:
844:
843:
839:
838:
837:
835:
834:
833:
764:
763:
745:
740:
739:
732:
716:
712:
703:
701:
688:
687:
680:
673:
657:
648:
609:
605:
596:
594:
586:
585:
581:
572:
570:
562:
561:
550:
545:
512:Kähler quotient
493:
468:is named after
459:symplectic form
453:endowed with a
413:
365:Occupied France
280:
255:
254:
246:
218:
121:
119:Kähler manifold
117:
113:
97:Alma mater
84:
78:
72:
70:
61:
52:
51:16 January 1906
43:
31:
24:
17:
12:
11:
5:
842:
832:
831:
826:
821:
816:
811:
806:
801:
796:
791:
786:
781:
776:
762:
761:
752:
744:
741:
738:
737:
730:
710:
690:"ERICH KÄHLER"
678:
671:
646:
619:(1): 173–186.
603:
579:
547:
546:
544:
541:
540:
539:
534:
529:
524:
519:
514:
509:
504:
499:
492:
489:
472:, Kähler, and
412:
409:
279:
276:
238:
237:
234:
233:
228:
222:
221:
210:
204:
203:
186:
182:
181:
176:
172:
171:
165:
164:
138:
134:
133:
130:
126:
125:
108:
107:Known for
104:
103:
98:
94:
93:
90:
86:
85:
79:
77:(aged 94)
67:
63:
62:
53:
49:
45:
44:
41:
33:
32:
29:
15:
9:
6:
4:
3:
2:
841:
830:
827:
825:
822:
820:
817:
815:
812:
810:
807:
805:
802:
800:
797:
795:
792:
790:
787:
785:
782:
780:
777:
775:
772:
771:
769:
760:
756:
753:
750:
747:
746:
733:
731:9783110905434
727:
723:
722:
714:
700:on 2016-10-13
699:
695:
691:
685:
683:
674:
672:9781400865383
668:
664:
663:
655:
653:
651:
642:
638:
634:
630:
626:
622:
618:
615:(in German).
614:
607:
593:
589:
583:
569:
565:
559:
557:
555:
553:
548:
538:
535:
533:
530:
528:
525:
523:
520:
518:
515:
513:
510:
508:
505:
503:
500:
498:
495:
494:
488:
486:
482:
477:
475:
471:
467:
462:
460:
456:
452:
448:
444:
442:
438:
434:
430:
426:
422:
421:Kähler metric
418:
411:Contributions
408:
405:
402:
398:
394:
390:
384:
382:
378:
374:
370:
366:
362:
357:
352:
350:
345:
341:
337:
333:
329:
325:
321:
317:
313:
309:
305:
301:
297:
296:Galois theory
293:
288:
285:
275:
273:
272:string theory
269:
265:
264:mathematician
258:
252:
244:
235:
232:
229:
227:
223:
216:
215:
211:
209:
205:
202:
198:
194:
190:
187:
183:
180:
177:
173:
170:
166:
162:
158:
154:
150:
146:
142:
139:
135:
131:
127:
124:
120:
116:
112:
109:
105:
102:
99:
95:
91:
87:
82:
68:
64:
60:
59:German Empire
56:
50:
46:
39:
34:
27:
22:
755:Erich Kähler
720:
713:
702:. Retrieved
698:the original
694:cs.unitbv.ro
693:
661:
616:
612:
606:
595:. Retrieved
591:
582:
571:. Retrieved
567:
478:
463:
445:
414:
406:
393:East Germany
385:
356:World War II
353:
328:habilitation
326:, writing a
307:
289:
281:
243:Erich Kähler
242:
241:
212:
185:Institutions
168:
30:Erich Kähler
21:Erich Kahler
779:2000 deaths
774:1906 births
441:Élie Cartan
381:Élie Cartan
336:Levi-Civita
332:Castelnuovo
179:Mathematics
89:Citizenship
69:31 May 2000
768:Categories
704:2016-08-08
597:2016-08-08
573:2024-09-16
543:References
466:K3 surface
427:; and the
389:Paul Koebe
363:in German
300:Emil Artin
284:Sven Hedin
73:2000-06-01
641:122246578
633:0025-5858
369:Ile de Ré
312:doctorate
129:Spouse(s)
83:, Germany
491:See also
449:—
373:Mulsanne
270:and for
159:(1976),
155:(1957),
151:(1957),
147:(1955),
143:(1949),
757:at the
743:Sources
474:Kodaira
247:German:
71: (
55:Leipzig
728:
669:
639:
631:
485:scheme
470:Kummer
457:and a
342:, and
340:Severi
219:(1928)
217:
208:Thesis
175:Fields
163:(1992)
137:Awards
92:German
637:S2CID
401:Artin
344:Segre
81:Wedel
726:ISBN
667:ISBN
629:ISSN
464:The
66:Died
48:Born
621:doi
423:on
770::
692:.
681:^
649:^
635:.
627:.
590:.
566:.
551:^
476:.
443:.
338:,
334:,
274:.
199:,
195:,
191:,
57:,
734:.
707:.
675:.
643:.
623::
617:9
600:.
576:.
245:(
75:)
23:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
