Volume collapsed three-manifolds with a lower curvature bound

Mathematische Annalen

Volumn 333, Issue 1, 2005, Pages 131-155

  Shioya, Takashi ^a   Yamaguchi, Takao ^b  

^a TOHOKU UNIVERSITY   (Japan)

^b UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044475900     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-005-0667-x     Document Type: Article

References (12)

1. Burago, Yu.,Gromov,M.,Pererman, G.: A.D. Aleksandrov spaces with curvatures bounded below. Uspekhi Mat. Nauk 47(284), 3-51, 222 (1992);
2. Translation in Russian Math. Surveys 47, 1-58 (1992)
3. Cheeger, J., Gromov, M.: Collapsing Riemannian manifolds while keeping their curvature bounded I. J. Differential Geom. 23, 309-346 (1986)
4. Cheeger, J., Gromov, M.: Collapsing Riemannian manifolds while keeping their curvature bounded II. J. Differential Geom. 32, 269-298 (1990)
5. Fukaya, K., Yamaguchi, T.: The fundamental groups of almost nonnegatively curved manifolds. Ann. Math. (2) 136, 253-333 (1992)
6. Orlik, P.: Seifert manifolds. Lecture Notes in Math., no. 291, Springer, Berlin-New York, 1972
7. Perelman, G.: A. D. Alexandrov's spaces with curvatures bounded from below II. Preprint
8. Perelman, G.: Ricci flow with surgery on three-manifolds. arXivimath. DG / 0303109
9. Shiohama, K., Tanaka, M.: Cut loci and distance spheres on Alexandrov surfaces. Actes de la Table Ronde de Géométrie Différentielle (Luminy, 1992), Sémin. Congr., vol. 1, Soc. Math. France, Paris, 1996, pp. 531-559
10. Shioya, T., Yamaguchi, T.: Collapsing three-manifolds under a lower curvature bound. J. Differential Geom. 56, 1-66 (2000)
11. Yamaguchi, T.: Collapsing and pinching under a lower curvature bound. Ann. Math. (2) 133, 317-357 (1991)
12. Yamaguchi, T.: A convergence theorem in the geometry of Alexandrov spaces. Actes de la Table Ronde de Géométrie Différentielle (Luminy, 1992), Sémin. Congr., vol. 1, Soc. Math. France, Paris, 1996, pp. 601-642