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


MSC:

53C40 Global submanifolds
53B25 Local submanifolds
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
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References:

[1] Bejancu, A., ?CR Submanifolds of a Kaehler Manifold, I?,Proc. Am. Math. Soc. 69, 135-142 (1978). · Zbl 0368.53040
[2] Bejancu, A., ?CR Submanifolds of a Kaehler Manifold, II?,Trans. Am. Math. Soc. 250, 333-345 (1979). · Zbl 0368.53041 · 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). · Zbl 0199.56401
[5] Okumura, M., ?Compact Real Hypersurfaces of a Complex Projective Space?,J. Diff. Geom. 12, 595-598 (1977). · Zbl 0412.53024
[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). · Zbl 0122.40705
[10] Yano, K. and Ishihara, S., ?Submanifolds with Parallel Mean Curvature Vector,?J. Diff. Geom. 6, 95-118 (1971). · Zbl 0222.53052
[11] Yano, K. and Kon, M.,Anti-invariant Submanifolds, Dekker, New York, 1976. · Zbl 0349.53055
[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. · Zbl 0416.53028
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