434:
475:
358:
274:
468:
249:
216:
17:
504:
461:
370:
186:
139:
494:
291:
Weinstein, Alan (1974-01-01). "On the volume of manifolds all of whose geodesics are closed".
449:
8:
441:
51:
32:
410:
509:
499:
255:
407:
391:
388:
366:
346:
308:
245:
212:
336:
300:
226:
204:
127:
121:
97:
238:
Kazdan, Jerry L. (1982). "An isoperimetric inequality and
Wiedersehen manifolds".
208:
131:
90:
445:
320:
170:
162:
259:
488:
350:
341:
324:
312:
304:
239:
154:
124:
48:
433:
158:
86:
28:
415:
396:
203:. Berlin, Heidelberg: Springer Berlin Heidelberg. p. 236β242.
143:
63:
134:
term meaning "seeing again". As it turns out, in each dimension
405:
199:
Berger, Marcel (1978). "Blaschke's
Conjecture for Sphere".
85:
For example, on an ordinary sphere where the geodesics are
365:. New York: Cambridge University Press. pp. 328β329.
386:
47:
on a (usually, but not necessarily, two-dimensional)
153:, this result was established by combined works of
325:"Odd-dimensional wiedersehen manifolds are spheres"
89:, the Wiedersehen pairs are exactly the pairs of
486:
275:"Summary of progress on the Blaschke conjecture"
469:
201:Manifolds all of whose Geodesics are Closed
476:
462:
363:Riemannian geometry: a modern introduction
319:
241:Seminar on Differential Geometry. (AM-102)
340:
290:
225:
108:) belongs to a Wiedersehen pair, then (
14:
487:
357:
237:
231:Vorlesung ΓΌber Differentialgeometrie I
198:
406:
387:
138:the only Wiedersehen manifold (up to
428:
120:. The concept was introduced by the
24:
25:
521:
380:
272:
432:
293:Journal of Differential Geometry
187:Cut locus (Riemannian manifold)
244:. Princeton University Press.
13:
1:
192:
39:is a pair of distinct points
448:. You can help Knowledge by
209:10.1007/978-3-642-61876-5_13
142:) is the standard Euclidean
7:
180:
10:
526:
427:
233:. Berlin: Springer-Verlag.
505:Riemannian geometry stubs
149:. Initially known as the
31:—specifically, in
444:-related article is a
342:10.4310/jdg/1214435386
305:10.4310/jdg/1214432547
411:"Wiedersehen surface"
96:If every point of an
329:J. Differential Geom
118:Wiedersehen manifold
74:, and the same with
70:also passes through
18:Wiedersehen manifold
495:Riemannian geometry
442:Riemannian geometry
151:Blaschke conjecture
130:and comes from the
52:Riemannian manifold
33:Riemannian geometry
408:Weisstein, Eric W.
392:"Wiedersehen pair"
389:Weisstein, Eric W.
116:) is said to be a
62:) such that every
457:
456:
273:McKay, Benjamin.
251:978-0-691-08268-4
227:Blaschke, Wilhelm
218:978-3-642-61878-9
16:(Redirected from
517:
478:
471:
464:
436:
429:
421:
420:
402:
401:
376:
354:
344:
316:
287:
285:
284:
279:
269:
267:
266:
234:
222:
128:Wilhelm Blaschke
122:Austro-Hungarian
91:antipodal points
37:Wiedersehen pair
21:
525:
524:
520:
519:
518:
516:
515:
514:
485:
484:
483:
482:
425:
383:
373:
282:
280:
277:
264:
262:
252:
219:
195:
183:
23:
22:
15:
12:
11:
5:
523:
513:
512:
507:
502:
497:
481:
480:
473:
466:
458:
455:
454:
437:
423:
422:
403:
382:
381:External links
379:
378:
377:
371:
355:
317:
288:
270:
260:j.ctt1bd6kkq.9
250:
235:
223:
217:
194:
191:
190:
189:
182:
179:
82:interchanged.
9:
6:
4:
3:
2:
522:
511:
508:
506:
503:
501:
498:
496:
493:
492:
490:
479:
474:
472:
467:
465:
460:
459:
453:
451:
447:
443:
438:
435:
431:
430:
426:
418:
417:
412:
409:
404:
399:
398:
393:
390:
385:
384:
374:
372:0-521-61954-8
368:
364:
360:
359:Chavel, Isaac
356:
352:
348:
343:
338:
334:
330:
326:
322:
318:
314:
310:
306:
302:
298:
294:
289:
276:
271:
261:
257:
253:
247:
243:
242:
236:
232:
228:
224:
220:
214:
210:
206:
202:
197:
196:
188:
185:
184:
178:
176:
172:
168:
164:
160:
156:
152:
148:
146:
141:
137:
133:
129:
126:
125:mathematician
123:
119:
115:
111:
107:
103:
99:
94:
92:
88:
87:great circles
83:
81:
77:
73:
69:
65:
61:
57:
53:
50:
46:
42:
38:
34:
30:
19:
450:expanding it
439:
424:
414:
395:
362:
335:(1): 91β96.
332:
328:
296:
292:
281:. Retrieved
263:. Retrieved
240:
230:
200:
174:
166:
150:
144:
135:
117:
113:
109:
105:
101:
95:
84:
79:
75:
71:
67:
59:
55:
44:
40:
36:
26:
29:mathematics
489:Categories
321:C. T. Yang
283:2024-01-29
265:2024-01-29
193:References
165:(for even
100:manifold (
510:Manifolds
500:Equations
416:MathWorld
397:MathWorld
351:0022-040X
313:0022-040X
163:Weinstein
35:—a
361:(2006).
323:(1980).
229:(1921).
181:See also
140:isometry
98:oriented
66:through
64:geodesic
169:), and
147:-sphere
112:,
104:,
58:,
49:compact
369:
349:
311:
258:
248:
215:
159:Kazdan
155:Berger
132:German
440:This
299:(4).
278:(PDF)
256:JSTOR
173:(odd
446:stub
367:ISBN
347:ISSN
309:ISSN
246:ISBN
213:ISBN
171:Yang
78:and
43:and
337:doi
301:doi
205:doi
177:).
27:In
491::
413:.
394:.
345:.
333:15
331:.
327:.
307:.
295:.
254:.
211:.
161:,
157:,
93:.
477:e
470:t
463:v
452:.
419:.
400:.
375:.
353:.
339::
315:.
303::
297:9
286:.
268:.
221:.
207::
175:n
167:n
145:n
136:n
114:g
110:M
106:g
102:M
80:y
76:x
72:y
68:x
60:g
56:M
54:(
45:y
41:x
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.