Collapsing and soul theorem in three-dimension
Séminaire de théorie spectrale et géométrie, Volume 15 (1996-1997), pp. 163-166.
@article{TSG_1996-1997__15__163_0,
     author = {Yamaguchi, Tatao},
     title = {Collapsing and soul theorem in three-dimension},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     pages = {163--166},
     publisher = {Institut Fourier},
     volume = {15},
     year = {1996-1997},
     zbl = {0901.53025},
     language = {en},
     url = {http://www.numdam.org/item/TSG_1996-1997__15__163_0/}
}
TY  - JOUR
AU  - Yamaguchi, Tatao
TI  - Collapsing and soul theorem in three-dimension
JO  - Séminaire de théorie spectrale et géométrie
PY  - 1996-1997
DA  - 1996-1997///
SP  - 163
EP  - 166
VL  - 15
PB  - Institut Fourier
UR  - http://www.numdam.org/item/TSG_1996-1997__15__163_0/
UR  - https://zbmath.org/?q=an%3A0901.53025
LA  - en
ID  - TSG_1996-1997__15__163_0
ER  - 
%0 Journal Article
%A Yamaguchi, Tatao
%T Collapsing and soul theorem in three-dimension
%J Séminaire de théorie spectrale et géométrie
%D 1996-1997
%P 163-166
%V 15
%I Institut Fourier
%G en
%F TSG_1996-1997__15__163_0
Yamaguchi, Tatao. Collapsing and soul theorem in three-dimension. Séminaire de théorie spectrale et géométrie, Volume 15 (1996-1997), pp. 163-166. http://www.numdam.org/item/TSG_1996-1997__15__163_0/

[BGP] Yu. Burago, M. Gromov and G. Perelman. - A.D. Alexandorov's spaces with curvature bounded below, Uspehi Mat. Nauk 47 1992, pp. 3-51. English Transl. Russian Math. Survey 47 1992, pp. 1-58. | MR | Zbl

[CG] J. Cheeger and D. Gromoll. - On the structure of complete manifolds of nonnegative curvature, Ann. of Math., 96 1972, pp. 413-443. | MR | Zbl

[FY] K. Fukaya and T. Yamaguchi. - The fondamental groups of almost nonnegatively curved manifolds, Ann. of Math., 136 1992, pp. 253-333. | MR | Zbl

[G] M. Gromov. - Structure métrique pour les variétés riemanniennes, rédigé par J. Lafontaine et P. Pansu, Cedic/Fernand Nathan, Paris, 1981. | MR | Zbl

[P1] G. Perelman. - A.D. Alexandrov's spaces with curvatures bounded from below II, preprint.

[P2] G. Perelman. - Elements of Morse theory on Alexandrov spaces, St. Petersburg Math. Jour., 5 1994, pp. 207-214. | MR | Zbl

[P3] G. Perelman. - Collapsing with no proper extremal subsets, preprint. | Zbl

[SY] T. Shioya and T. Yamaguchi. - Collapsing three-manifolds under a lower curvature bound, in preparation.

[Y1] T. Yamaguchi. - Collapsing and Pinching under a lower curvature bound, Ann. of Math., 133 1991, pp. 317-357. | Zbl

[Y2] T. Yamaguchi. - A convergence theorem in the geometry of Alexandrov spaces. Actes de la table ronde de géométrie différentielle en l'honneur de Marcel Berger, ed. Arthur L. Besse, Collection SMF, Séminaires et Congrès, 1 Société Mathématique de France, 1996, pp. 601-642. | Zbl