The diameter function on the space of space form

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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