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Differential geometry of CR-submanifolds. (English) Zbl 0464.53044

MSC:
53C40Global submanifolds (differential geometry)
53B25Local submanifolds
53C42Immersions (differential geometry)
References:
[1]Bejancu, A., ?CR Submanifolds of a Kaehler Manifold, I?,Proc. Am. Math. Soc. 69, 135-142 (1978).
[2]Bejancu, A., ?CR Submanifolds of a Kaehler Manifold, II?,Trans. Am. Math. Soc. 250, 333-345 (1979). · doi:10.1090/S0002-9947-1979-0530059-6
[3]Chen, B.Y., ?On CR-Submanifolds of a Kaehler Manifold? (to appear).
[4]Lawson, H.B., Jr, ?Rigidity Theorems in Rank-1 Symmetric Spaces?,J. Diff. Geom. 4, 349-357 (1970).
[5]Okumura, M., ?Compact Real Hypersurfaces of a Complex Projective Space?,J. Diff. Geom. 12, 595-598 (1977).
[6]Simons, J., ?Minimal Varieties in Riemannian Manifolds?,Ann. Math. 88, 62-105 (1968). · Zbl 0181.49702 · doi:10.2307/1970556
[7]Stong, R.E., ?The Rank of anf-Structure?,Ködai Math. Sem. Rep. 29, 207-209 (1977). · Zbl 0409.53028 · doi:10.2996/kmj/1138833583
[8]Yano, K., ?On Harmonic and Killing Vector Fields?,Ann. Math. 55, 38-45 (1952). · Zbl 0046.15603 · doi:10.2307/1969418
[9]Yano, K., ?On a Structure Defined by a Tensor Fieldf of Type (1,1) Satisfyingf 3+f=0?,Tensor N.S. 14, 99-109 (1963).
[10]Yano, K. and Ishihara, S., ?Submanifolds with Parallel Mean Curvature Vector,?J. Diff. Geom. 6, 95-118 (1971).
[11]Yano, K. and Kon, M.,Anti-invariant Submanifolds, Dekker, New York, 1976.
[12]Yano, K. and Kon, M., ?Generic Submanifolds?,Ann. Mat. 123, 59-92 (1980). · Zbl 0441.53043 · doi:10.1007/BF01796540
[13]Yano, K. and Kon, M., ?CR-sous-variétés d’un espace projectif complexe?,C.R. Acad. Sci., Paris288, 515-517 1979.