Collapsing and soul theorem in three-dimension

Tatao Yamaguchi

Séminaire de théorie spectrale et géométrie (1996-1997)

  • Volume: 15, page 163-166
  • ISSN: 1624-5458

How to cite


Yamaguchi, Tatao. "Collapsing and soul theorem in three-dimension." Séminaire de théorie spectrale et géométrie 15 (1996-1997): 163-166. <>.

author = {Yamaguchi, Tatao},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Alexandrov space; soul theorem; Riemannian manifold; nonnegative curvature},
language = {eng},
pages = {163-166},
publisher = {Institut Fourier},
title = {Collapsing and soul theorem in three-dimension},
url = {},
volume = {15},
year = {1996-1997},

AU - Yamaguchi, Tatao
TI - Collapsing and soul theorem in three-dimension
JO - Séminaire de théorie spectrale et géométrie
PY - 1996-1997
PB - Institut Fourier
VL - 15
SP - 163
EP - 166
LA - eng
KW - Alexandrov space; soul theorem; Riemannian manifold; nonnegative curvature
UR -
ER -


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  2. [CG] J. CHEEGER and D. GROMOLL. - On the structure of complete manifolds of nonnegative curvature, Ann. of Math., 96 1972, pp. 413-443. Zbl0246.53049MR309010
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  4. [G] M. GROMOV. - Structure métrique pour les variétés riemanniennes, rédigé par J. Lafontaine et P. Pansu, Cedic/Fernand Nathan, Paris, 1981. Zbl0509.53034MR682063
  5. [P1] G. PERELMAN. - A.D. Alexandrov's spaces with curvatures bounded from below II, preprint. 
  6. [P2] G. PERELMAN. - Elements of Morse theory on Alexandrov spaces, St. Petersburg Math. Jour., 5 1994, pp. 207-214. Zbl0815.53072MR1220498
  7. [P3] G. PERELMAN. - Collapsing with no proper extremal subsets, preprint. Zbl0887.53049
  8. [SY] T. SHIOYA and T. YAMAGUCHI. - Collapsing three-manifolds under a lower curvature bound, in preparation. Zbl1036.53028
  9. [Y1] T. YAMAGUCHI. - Collapsing and Pinching under a lower curvature bound, Ann. of Math., 133 1991, pp. 317-357. Zbl0737.53041
  10. [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. Zbl0885.53041

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