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Totally geodesic spheres in compact symmetric spaces. (English) Zbl 0142.19204


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[1] Araki, S.: On root systems and an infinitesimal classification of irreducible symmetric spaces. J. Math. Osaka City Univ.13, 1-34 (1962). · Zbl 0123.03002
[2] Cartan, E.: Sur certaines formes riemanniennes remarquables des géométries a groupe fondamental simple. Ann. Sci. École Norm. Sup.44, 345-467 (1927). · JFM 53.0393.01
[3] Elíasson, H.: Über die Anzahl geschlossener Geodätischer in gewissen Riemannschen Mannigfaltigkeiten. Math. Ann. (to appear). · Zbl 0145.42303
[4] Helgason, S.: Differential geometry and symmetric spaces. New York: Academic Press, 1962. · Zbl 0111.18101
[5] ?? The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds. Acta Math.113, 153-180 (1965). · Zbl 0163.16602 · doi:10.1007/BF02391776
[6] Wolf, J. A.: Geodesic spheres in Grassmann manifolds. Illinois J. Math.7, 425-446 (1963). · Zbl 0114.37002
[7] ?? Elliptic spaces in Grassmann manifolds. Illinois J. Math.7, 447-462 (1963). · Zbl 0114.37101
[8] Rauch, H. E.: The global study of geodesics in symmetric and nearly symmetric Riemannian manifolds. Comment. Math. Helv.35, 111-125 (1961). · Zbl 0107.15802 · doi:10.1007/BF02567010
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