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References
E. Backes-H. Reckziegel: On symmetric submanifolds of spaces of constant curvature, Math. Ann. 263 (1983), 419–433.
M. Berger: Les espaces symetriques non compacts, Ann. Sci. Ecole Norm. Sup. (4), 74 (1957), 85–177.
B.Y. Chen-T. Nagano: Totally geodesic submanifolds of symmetric spaces II, Duke Math. J., 45 (1978), 405–425.
D. Ferus: Symmetric submanifolds of euclidean space, Math. Ann., 247 (1980), 81–93.
S. Funabashi: Totally complex submanifolds of a quaternionic Kaehlerian manifold, Kodai Math. J., 2 (1979), 314–336.
S. Helgason: Differential Geometry, Lie groups and Symmetric spaces, Academic Press, New York, 1978.
S. Kobayashi-K. Nomizu: Foundations of Differential Geometry I,II, Interscience, New York, 1963, 1969.
H. Nakagawa-R. Takagi: On locally symmetric Kaehler submanifolds in a complex projective space, J. Math. Soc. Japan, 28 (1976), 638–667.
H. Naitoh-M. Takeuchi: Totally real submanifolds and symmetric bounded domains, Osaka J. Math., 19 (1982), 717–731.
W. Strübing: Symmetric submanifolds of riemannian manifolds, Math. Ann., 245 (1979), 37–44.
M. Takeuchi: Parallel submanifolds of space forms, Manifolds and Lie groups, in honor of Y. Matsushima, ed. by J. Hano et al., Birkhäuser, Boston, 1981, 429–447.
—: Parallel projective manifolds and symmetric bounded domains, Preprint.
K.Tsukada: Parallel submanifolds in a quaternion projective space, Preprint.
—: Parallel submanifolds of Cayley plane, Preprint.
—: Parallel Kaehler submanifolds of hermitian symmetric spaces, Preprint.
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© 1984 Springer-Verlag
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Naitoh, H. (1984). Symmetric submanifolds of compact symmetric spaces. In: Kenmotsu, K. (eds) Differential Geometry of Submanifolds. Lecture Notes in Mathematics, vol 1090. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101572
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DOI: https://doi.org/10.1007/BFb0101572
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