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Parallel Kaehler submanifolds of Hermitian symmetric spaces

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References

  1. Borel, A.: On the curvature tensor of the Hermitian symmetric manifolds. Ann. Math.71, 508–521 (1960)

    Google Scholar 

  2. Calabi, E., Vesentini, E.: On compact locally symmetric Kaehler manifolds. Ann. Math.71, 472–507 (1960)

    Google Scholar 

  3. Helgason, S.: Differential geometry. Lie groups and symmetric spaces, Eilenberg, S., Bass, H., eds. New York: Academic Press 1978

    Google Scholar 

  4. Kon, M.: On some complex submanifolds in Kaehler manifolds. Can. J. Math.26, 1442–1449 (1974)

    Google Scholar 

  5. Naitoh, H.: Isotropic submanifolds with parallel second fundamental forms in symmetric spaces. Osaka J. Math.17, 95–110 (1980)

    Google Scholar 

  6. Naitoh, H.: Isotropic submanifolds with parallel second fundamental form inP m (c). Osaka J. Math.18, 427–464 (1981)

    Google Scholar 

  7. Naitoh, H.: Totally real parallel submanifolds inP m (c). Tokyo J. Math.4, 279–306 (1981)

    Google Scholar 

  8. Naitoh, H.: Parallel submanifolds of complex space forms I. Nagoya Math. J.90, 85–117 (1983)

    Google Scholar 

  9. Nakagawa, H., Takagi, R.: On locally symmetric Kaehler submanifolds in a complex projective space. J. Math. Soc. Japan28, 638–667 (1976)

    Google Scholar 

  10. Simons, J.: On the transivity of holonomy systems. Ann. Math.76, 213–234 (1962)

    Google Scholar 

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  1. Department of Mathematics, Niigata University, Ikarashi 2-8050, 950-21, Niigata, Japan

    Kazumi Tsukada

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  1. Kazumi Tsukada
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Tsukada, K. Parallel Kaehler submanifolds of Hermitian symmetric spaces. Math Z 190, 129–150 (1985). https://doi.org/10.1007/BF01159170

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  • DOI: https://doi.org/10.1007/BF01159170

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