Yano, Kentaro; Kon, Masahiro Differential geometry of CR-submanifolds. (English) Zbl 0464.53044 Geom. Dedicata 10, 369-391 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 21 Documents MSC: 53C40 Global submanifolds 53B25 Local submanifolds 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) Keywords:holomorphic distribution; minimal section; isoperimetric section; submanifold of a Kählerian manifold; integral formulas Citations:Zbl 0368.53040; Zbl 0416.53028 PDFBibTeX XMLCite \textit{K. Yano} and \textit{M. Kon}, Geom. Dedicata 10, 369--391 (1981; Zbl 0464.53044) Full Text: DOI 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 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.