The diameter function on the space of space form

Jill McGowan

Compositio Mathematica (1993)

  • Volume: 87, Issue: 1, page 79-98
  • ISSN: 0010-437X

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McGowan, Jill. "The diameter function on the space of space form." Compositio Mathematica 87.1 (1993): 79-98. <http://eudml.org/doc/90229>.

@article{McGowan1993,
author = {McGowan, Jill},
journal = {Compositio Mathematica},
keywords = {fundamental group; sectional curvature; diameter; spherical space forms; Hausdorff closure},
language = {eng},
number = {1},
pages = {79-98},
publisher = {Kluwer Academic Publishers},
title = {The diameter function on the space of space form},
url = {http://eudml.org/doc/90229},
volume = {87},
year = {1993},
}

TY - JOUR
AU - McGowan, Jill
TI - The diameter function on the space of space form
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 87
IS - 1
SP - 79
EP - 98
LA - eng
KW - fundamental group; sectional curvature; diameter; spherical space forms; Hausdorff closure
UR - http://eudml.org/doc/90229
ER -

References

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  1. 1 Cheeger, J. and Ebin, D.G.: Comparison Theorems in Riemannian Geometry, American Publishing Co., Inc., New York, 1975. Zbl0309.53035MR458335
  2. 2 Gromoll, D. and Grove, K.: A generalization of Berger's rigidity theorem for positively curved manifolds, Ann. Scientifiques de l'Ecole Normale Supérieure, 20 (1987), 227-239. Zbl0626.53032MR911756
  3. 3 Gromov, M.: Almost flat manifolds, J. Differential Geometry13 (1978), 231-241. Zbl0432.53020MR540942
  4. 4 McGowan, J.: The diameter function on the space of space forms, dissertation, University of Maryland, 1991. Zbl0777.53045
  5. 5 Michael, E.: Topologies on spaces of subsets, Transactions of the American Mathematical Society71 (1951), 152-182. Zbl0043.37902MR42109
  6. 6 Mostert, P.S.: On a compact Lie group acting on a manifold, Annals of Mathematics65 (1957), 447-455 and Errata 66, 589. Zbl0080.16702MR85460
  7. 7 Myers, S.: Riemannian manifolds in the large, Duke Math. J.1 (1935), 39-49. Zbl0011.22502MR1545863JFM61.0786.03
  8. 8 Raghunathan, M.S.: Discrete Subgroups of Lie Groups, Springer-Verlag, New York, 1972. Zbl0254.22005MR507234
  9. 9 Varadarajan, V.S.: Lie Groups, Lie Algebras, and Their Representations, Springer-Verlag, New York, 1984. Zbl0955.22500MR746308
  10. 10 Vincent, G.: Les groupes Lineaires finis sans points fixes, Commentarii Mathematici Halvetici20 (1947), 117-171. Zbl0034.38102MR21936
  11. 11 Wolf, J.A.: Spaces of Constant Curvature, Publish or Perish, Wilmington, 1984. MR928600

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