Finiteness of π 1 and geometric inequalities in almost positive Ricci curvature

Erwann Aubry

Annales scientifiques de l'École Normale Supérieure (2007)

  • Volume: 40, Issue: 4, page 675-695
  • ISSN: 0012-9593

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Aubry, Erwann. "Finiteness of ${\pi }_{1}$ and geometric inequalities in almost positive Ricci curvature." Annales scientifiques de l'École Normale Supérieure 40.4 (2007): 675-695. <http://eudml.org/doc/82723>.

@article{Aubry2007,
author = {Aubry, Erwann},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Myers theorem; -control; Gromov-Hausdorff distance; Ricci curvature},
language = {eng},
number = {4},
pages = {675-695},
publisher = {Elsevier},
title = {Finiteness of $\{\pi \}_\{1\}$ and geometric inequalities in almost positive Ricci curvature},
url = {http://eudml.org/doc/82723},
volume = {40},
year = {2007},
}

TY - JOUR
AU - Aubry, Erwann
TI - Finiteness of ${\pi }_{1}$ and geometric inequalities in almost positive Ricci curvature
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2007
PB - Elsevier
VL - 40
IS - 4
SP - 675
EP - 695
LA - eng
KW - Myers theorem; -control; Gromov-Hausdorff distance; Ricci curvature
UR - http://eudml.org/doc/82723
ER -

References

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  16. [16] Petersen P., Wei G., Analysis and geometry on manifolds with integral curvature bounds. II, Trans. AMS353 (2) (2000) 457-478. Zbl0999.53030
  17. [17] Rosenberg S., Yang D., Bounds on the fundamental group of a manifold with almost non-negative Ricci curvature, J. Math. Soc. Japan46 (1994) 267-287. Zbl0818.53058MR1264942
  18. [18] Sakai T., Riemannian Geometry, Amer. Math. Soc., Providence, Rhode Island, 1996. Zbl0886.53002
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  21. [21] Yang D., Convergence of Riemannian manifolds with integral bounds on curvature I, Ann. Sci. Éc. Norm. Sup.25 (1992) 77-105. Zbl0748.53025MR1152614

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