Effondrement des variétés riemanniennes

Pierre Pansu

Recherche Coopérative sur Programme n°25 (1986)

  • Volume: 36, page 19-25

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Pansu, Pierre. "Effondrement des variétés riemanniennes." Recherche Coopérative sur Programme n°25 36 (1986): 19-25. <http://eudml.org/doc/274676>.

@article{Pansu1986,
author = {Pansu, Pierre},
journal = {Recherche Coopérative sur Programme n°25},
language = {fre},
pages = {19-25},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Effondrement des variétés riemanniennes},
url = {http://eudml.org/doc/274676},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Pansu, Pierre
TI - Effondrement des variétés riemanniennes
JO - Recherche Coopérative sur Programme n°25
PY - 1986
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 36
SP - 19
EP - 25
LA - fre
UR - http://eudml.org/doc/274676
ER -

References

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  1. [1] S. Aloff, N. Wallach, An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures, Bull. A.M.S.91 (1975) 93-97. Zbl0362.53033MR370624
  2. [2] R. Bishop. R. Crittenden, Geometry of manifolds, Academic Press (1954). Zbl0132.16003MR169148
  3. [3] J. Cheeger, Finiteness theorems for Riemannian manifolds, Amer. J. Math.92 (1970) 61-74. Zbl0194.52902MR263092
  4. [4] J. Cheeger, N. Gromov, Collapsing Riemannian manifolds while keeping their curvature bounded, J. Diff. Geom.21 (1986). Zbl0606.53028
  5. [5] K. Fukaya, A boundary of the set of Riemannian manifolds with bounded curvatures and diameters, preprint univ. of Tokyo (1985). Zbl0652.53031MR950552
  6. [6] M. Gromov, Almost flat manifolds, J. Diff. Geom13 (1978) 231-241. Zbl0432.53020MR540942
  7. [7] M. Gromov, Groups of polynomial growth and expanding maps, Publ. Math. I.H.E.S.53 (1981) 53-78. Zbl0474.20018MR623534
  8. [8] M. Gromov, Structures métriques pour les variétés riemanniennes, notes de cours rédigées par J. La-fontaine et P. Pansu, CEDIC - Fernand-Nathan, Paris (1981). Zbl0509.53034MR682063
  9. [9] J. Mitchell, On Carnot-Caratheodory metrics, Preprint UCLA (1984), Zbl0554.53023MR806700
  10. [10] P. Pansu, Croissance des boules et des géodésiques -fermées dans les nilvariétés, Erg. Th. Dynam. Syst.3 (1983) 415-445. Zbl0509.53040MR741395
  11. [11] S. Peters, The regularity of limit metrics in Gromov's compactness theorem, Math. Ann.273 (1986). 
  12. [12] H. Rauch, A contribution to Riemannian geometry in the large, Ann. of Math.54 (1951) 38-55. Zbl0043.37202MR42765
  13. [13]. E. Ruh, Almost flat manifolds, J. Diff. Geom.17 (1982) 1-14. Zbl0468.53036MR658470
  14. [14] L.P.D. Van Den Dries, A.J. Wilkie, Preprint. 

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