A generalization of Berger's rigidity theorem for positively curved manifolds

Detlef Gromoll; Karsten Grove

Annales scientifiques de l'École Normale Supérieure (1987)

  • Volume: 20, Issue: 2, page 227-239
  • ISSN: 0012-9593

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Gromoll, Detlef, and Grove, Karsten. "A generalization of Berger's rigidity theorem for positively curved manifolds." Annales scientifiques de l'École Normale Supérieure 20.2 (1987): 227-239. <http://eudml.org/doc/82199>.

@article{Gromoll1987,
author = {Gromoll, Detlef, Grove, Karsten},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {sectional curvature; diameter; symmetric space; twisted sphere},
language = {eng},
number = {2},
pages = {227-239},
publisher = {Elsevier},
title = {A generalization of Berger's rigidity theorem for positively curved manifolds},
url = {http://eudml.org/doc/82199},
volume = {20},
year = {1987},
}

TY - JOUR
AU - Gromoll, Detlef
AU - Grove, Karsten
TI - A generalization of Berger's rigidity theorem for positively curved manifolds
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1987
PB - Elsevier
VL - 20
IS - 2
SP - 227
EP - 239
LA - eng
KW - sectional curvature; diameter; symmetric space; twisted sphere
UR - http://eudml.org/doc/82199
ER -

References

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  7. [GG1] D. GROMOLL and K. GROVE, Rigidity of Positively Curved Manifolds with Large Diameter (Seminar of Differential Geometry, Ann. of Math. Studies, Vol. 102, 1982, pp. 203-207). Zbl0496.53028
  8. [GG2] D. GROMOLL and K. GROVE, One-Dimensional Metric Foliations in Constant Curvature Spaces (Differential Geometry and Complex Analysis, H. E. Rauch memorial volume, Springer-Verlag, 1985, pp. 165-167). Zbl0566.53035MR86b:53026
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  10. [GKM] D. GROMOLL, W. KLINGENBERG and W. MEYER, Riemannsche Geometrie im Grossen (Lecture Notes in Mathematics, No. 55, Springer Verlag, second edition, 1975). Zbl0293.53001MR51 #1651
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