Tsukada, Kazumi Parallel Kähler submanifolds of Hermitian symmetric spaces. (English) Zbl 0568.53031 Math. Z. 190, 129-150 (1985). See the preview in Zbl 0549.53054. Cited in 1 ReviewCited in 8 Documents MSC: 53C40 Global submanifolds 53B25 Local submanifolds 53B35 Local differential geometry of Hermitian and Kählerian structures Keywords:Kähler submanifolds; Hermitian symmetric spaces; parallel second fundamental form; complex projective space; totally geodesic Citations:Zbl 0549.53054 PDFBibTeX XMLCite \textit{K. Tsukada}, Math. Z. 190, 129--150 (1985; Zbl 0568.53031) Full Text: DOI EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.