Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
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- by Detlef Gromoll and Joseph A. Wolf PDF
- Bull. Amer. Math. Soc. 77 (1971), 545-552
References
- R. L. Bishop and B. O’Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc. 145 (1969), 1–49. MR 251664, DOI 10.1090/S0002-9947-1969-0251664-4
- William P. Byers, On a theorem of Preissmann, Proc. Amer. Math. Soc. 24 (1970), 50–51. MR 251665, DOI 10.1090/S0002-9939-1970-0251665-X
- É. Cartan, Leçons sur la Géométrie des Espaces de Riemann, Gauthier-Villars, Paris, 1946 (French). 2d ed. MR 0020842 4. J. Cheeger and D. Gromoll, On complete manifolds of nonnegative curvature, Ann. of Math, (to appear). 5. H. B. Lawson and S. T. Yau, On compact manifolds of nonpositive curvature, University of California, Berkeley, Calif., 1970 (preprint).
- Vilnis Ozols, Critical points of the displacement function of an isometry, J. Differential Geometry 3 (1969), 411–432. MR 266101
- Alexandre Preissmann, Quelques propriétés globales des espaces de Riemann, Comment. Math. Helv. 15 (1943), 175–216 (French). MR 10459, DOI 10.1007/BF02565638
- E. Spanier, Duality in topological manifolds, Colloque de Topologie (Brussels, 1964) Librairie Universitaire, Louvain, 1966, pp. 91–111. MR 0220297
- Joseph A. Wolf, Discrete groups, symmetric spaces, and global holonomy, Amer. J. Math. 84 (1962), 527–542. MR 148013, DOI 10.2307/2372860
- Joseph A. Wolf, Homogeneity and bounded isometries in manifolds of negative curvature, Illinois J. Math. 8 (1964), 14–18. MR 163262
- Joseph A. Wolf, Growth of finitely generated solvable groups and curvature of Riemannian manifolds, J. Differential Geometry 2 (1968), 421–446. MR 248688
- Shing-tung Yau, On the fundamental group of manifolds of non-positive curvature, Proc. Nat. Acad. Sci. U.S.A. 67 (1970), 509. MR 273545, DOI 10.1073/pnas.67.2.509
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 545-552
- MSC (1970): Primary 53C20; Secondary 20E40, 55A05
- DOI: https://doi.org/10.1090/S0002-9904-1971-12747-7
- MathSciNet review: 0281122