References
W. Ballmann, Axial isometries of manifolds of nonpositive curvature,Math. Ann.,259 (1982), 131–144.
——, Nonpositively curved manifolds of higher rank,Annals of Math.,122 (1985), 597–609.
W. Ballmann, M. Brin andP. Eberlein, Structure of manifolds of nonpositive curvature, I,Annals of Math.,122 (1985), 171–203.
W. Ballmann, M. Brin andR. Spatzier, Structure of manifolds of nonpositive curvature, II,Annals of Math.,122 (1985), 205–235.
M. Berger, Sur les groupes d’holonomie homogène des variétés à connexion affine et des variétés riemanniennes,Bull. Soc. Math. France,83 (1953), 279–330.
W. Ballmann, M. Gromov andV. Schroeder,Manifolds of nonpositive curvature, Basel, Birkhäuser, 1985.
R. Bishop andB. O’Neill, Manifolds of negative curvature,Trans. Amer. Math. Soc.,145 (1969), 1–49.
K. Burns andR. Spatzier, Manifolds of nonpositive curvature and their buildings,Publ. Math. IHES,65 (1987), 35–59.
P. Eberlein, A differential geometric characterization of symmetric spaces of noncompact type and rank at least two,preprint, 1987.
——, Geodesic flows on negatively curved manifolds, I,Annals of Math.,95 (1972), 492–510.
——, Isometry groups of simply connected manifolds of nonpositive curvature, II,Acta Math.,149 (1982), 41–69.
——, Rigidity of lattices of nonpositive curvature,Erg. Th. Dynam. Sys.,3 (1983), 47–85.
——, Symmetry diffeomorphism group of a manifold of nonpositive curvature, II,Indiana Univ. Math. Jour.,37 (1988), 735–752.
P. Eberlein andB. O’Neill, Visibility manifolds,Pacific J. Math.,46 (1973), 45–109.
D. Gromoll, W. Klingenberg andW. Meyer,Riemannsche Geometrie im Grossen, Lecture Notes in Math., vol. 55, Berlin, Springer, 1968.
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Supported in part by NSF Grant DMS-8601367.
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Eberlein, P., Heber, J. A differential geometric characterization of symmetric spaces of higher rank. Publications Mathématiques de L’Institut des Hautes Scientifiques 71, 33–44 (1990). https://doi.org/10.1007/BF02699876
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DOI: https://doi.org/10.1007/BF02699876