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Parallel Kähler submanifolds of Hermitian symmetric spaces. (English) Zbl 0568.53031

See the preview in Zbl 0549.53054.

MSC:

53C40 Global submanifolds
53B25 Local submanifolds
53B35 Local differential geometry of Hermitian and Kählerian structures

Citations:

Zbl 0549.53054
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References:

[1] Borel, A.: On the curvature tensor of the Hermitian symmetric manifolds. Ann. Math.71, 508-521 (1960) · Zbl 0100.36101
[2] Calabi, E., Vesentini, E.: On compact locally symmetric Kaehler manifolds. Ann. Math.71, 472-507 (1960) · Zbl 0100.36002
[3] Helgason, S.: Differential geometry. Lie groups and symmetric spaces, Eilenberg, S., Bass, H., eds. New York: Academic Press 1978 · Zbl 0451.53038
[4] Kon, M.: On some complex submanifolds in Kaehler manifolds. Can. J. Math.26, 1442-1449 (1974) · Zbl 0297.53013
[5] Naitoh, H.: Isotropic submanifolds with parallel second fundamental forms in symmetric spaces. Osaka J. Math.17, 95-110 (1980) · Zbl 0427.53022
[6] Naitoh, H.: Isotropic submanifolds with parallel second fundamental form inP m (c). Osaka J. Math.18, 427-464 (1981) · Zbl 0471.53036
[7] Naitoh, H.: Totally real parallel submanifolds inP m (c). Tokyo J. Math.4, 279-306 (1981) · Zbl 0485.53044
[8] Naitoh, H.: Parallel submanifolds of complex space forms I. Nagoya Math. J.90, 85-117 (1983) · Zbl 0509.53046
[9] Nakagawa, H., Takagi, R.: On locally symmetric Kaehler submanifolds in a complex projective space. J. Math. Soc. Japan28, 638-667 (1976) · Zbl 0328.53009
[10] Simons, J.: On the transivity of holonomy systems. Ann. Math.76, 213-234 (1962) · Zbl 0106.15201
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