Bibliography
M. Berger,Les variétés Riemann iennes (1/4)-pincées. Ann. Scuola Norm. Sup. Pisa, Serie III,14 (1960), 161–170.
M. Berger,Sur quelques variétés Riemann iennes suffisamment pincées. Bull. Soc. Math. France,88 (1960), 57–71.
M. Berger,Sur les groupes d'holonomie homogène… Bull. Soc. Math. France,83 (1955), 279–330.
E. Cartan,Sur une classe remarquable d'espaces de Riemann. Bull. Soc. Math. France,54 (1926), 214–264;55 (1927), 114–134. Oeuvres Complètes Pte I, vol. 2.
E. Cartan,La géométrie des groupes simples. Annali di Mat.,4 (1927), 209–256. Oeuvres Complètes, Pte I, vol. 2.
E. Cartan,Sur certaines formes Riemann iennes remarquables, etc. Ann. Ecole Norm. Sup.,44, 3 (1927), 345–467. Oeuvres Complètes, Pte I, vol. 2.
E. Cartan,Les espaces Riemann iens symmétriques. Verhandlg. Int. Math. Kongress Zürich, 1932, Oeuvres Complètes, Pte I, vol. 2.
E. Cartan,Leçons sur la Géométrie des Espaces de Riemann. Paris, 1946.
E. Cartan,La géométrie des groupes de transformations. J. Math. pures appl.,6 (1927), 1–119. Oeuvres Complètes, Pte I, vol. 2.
E. Cartan,Les tenseurs irréductibles, etc. Bull. Soc. Math. France49 (1925), 130–152. Oeuvres Complètes, Pte I, vol. 1.
S. Chern,On a generalization of Kaehler geometry. Algebraic Geometry and Topology, Princeton (1957), 103–121.
W. Klingenberg,Contributions to Riemann ian geometry in the large. Ann. Math.,69 (1959), 654–666.
H. E. Rauch,A contribution to differential geometry in the large. Ann. Math.,54 (1951), 38–55.
H. E. Rauch,Geodesics, symmetric spaces, and differential geometry in the large. Comment. Math. Helv.,27 (1953), 294–320.
H. E. Rauch,Geodesics and Curvature in Differential Geometry in the Large. Yeshiva Univ., New York, 1959.
J. de Siebenthal,Sur les sous-groupes fermés connexes d'un groupe de Lie clos. Comment. Math. Helv.25 (1951), 210–256.
Y. Tsukamoto,On certain Riemann ian manifolds with positive sectional curvature. Mem. Fac. Sci. Kyushu Univ., Series A,13 (1959), 140–145.
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Delivered at the International Colloquium on Topology and Differential Geometry in Zurich, June, 1960. This work was partially supported by NSF, Grant No. G 6695.
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Rauch, H.E. The global study of geodesics in symmetric and nearly symmetricRiemannian manifolds. Commentarii Mathematici Helvetici 35, 111–125 (1961). https://doi.org/10.1007/BF02567010
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DOI: https://doi.org/10.1007/BF02567010