Lower curvature bounds, Toponogov's theorem, and bounded topology. II

U. Abresch

Annales scientifiques de l'École Normale Supérieure (1987)

  • Volume: 20, Issue: 3, page 475-502
  • ISSN: 0012-9593

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Abresch, U.. "Lower curvature bounds, Toponogov's theorem, and bounded topology. II." Annales scientifiques de l'École Normale Supérieure 20.3 (1987): 475-502. <http://eudml.org/doc/82210>.

@article{Abresch1987,
author = {Abresch, U.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Betti number theorem; asymptotically nonnegatively curved manifolds},
language = {eng},
number = {3},
pages = {475-502},
publisher = {Elsevier},
title = {Lower curvature bounds, Toponogov's theorem, and bounded topology. II},
url = {http://eudml.org/doc/82210},
volume = {20},
year = {1987},
}

TY - JOUR
AU - Abresch, U.
TI - Lower curvature bounds, Toponogov's theorem, and bounded topology. II
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1987
PB - Elsevier
VL - 20
IS - 3
SP - 475
EP - 502
LA - eng
KW - Betti number theorem; asymptotically nonnegatively curved manifolds
UR - http://eudml.org/doc/82210
ER -

References

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  1. [A] U. ABRESCH, Lower curvature bounds, Toponogov's theorem and bounded topology, I (Ann. Scient. Ec. Norm. Sup., Vol. 19, 1985, pp. 651 à 670). Zbl0595.53043MR87j:53058
  2. [B] P. BERARD, Spectral geometry : direct and inverse problems (L.N.M., No. 1207, Springer, 1986). Zbl0608.58001MR88f:58146
  3. [BC] R. BISHOP and R. CRITTENDEN, Geometry of manifolds, Academic Press, N.Y., 1964. Zbl0132.16003MR29 #6401
  4. [BG] P. BERARD and S. GALLOT, Inégalités Isopérimétriques pour l'équation de la chaleur et application à l'estimation de quelques invariants géométriques (preprint). Zbl0542.53025
  5. [BM] P. BERARD and D. MEYER, Inégalités Isopérimétriques et Applications, (Ann. scient. Ec. Norm. Sup., Vol. 15, 1982, pp. 513-542). Zbl0527.35020MR84h:58147
  6. [Bö] K. BÖRÖCZKY, Packing of spheres in spaces of constant curvature (Acta Math. Acad. Scient. Hungaricae, Vol. 32, 1978, pp. 243-261). Zbl0422.52011MR80h:52014
  7. [CE] J. CHEEGER and D. EBIN, Comparison theorems in Riemannian geometry, North Holland, N.Y., 1975. Zbl0309.53035MR56 #16538
  8. [EN] P. EBERLEIN and B. O'NEILL, Visibility manifolds (Pac. J. Math., Vol. 46, 1972, pp. 45-109). Zbl0264.53026MR49 #1421
  9. [G] M. GROMOV, Curvature, diametre and Betti numbers (Comm. Math. Helv., Vol. 56, 1981, pp. 179-195). Zbl0467.53021MR82k:53062

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