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On a Characterization of Real Hypersurfaces of Type a in a Complex Space Form

Published online by Cambridge University Press:  20 November 2018

U-Hang Ki  and
Young-Jin Suh
U-Hang Ki
Affiliation:
Department of Mathematics, Kyungpook University Taegu, 702-701 Korea
Young-Jin Suh
Affiliation:
Department of Mathematics Andong University Andong, Kyungpook 760-749, Korea
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Abstract

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In this paper, under certain conditions on the orthogonal distribution T 0, we give a characterization of real hypersurfaces of type A in a complex space form Mn(c), c ≠ 0.

Keywords

53C4053C15

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 2 , 01 June 1994 , pp. 238 - 244
Copyright
Copyright © Canadian Mathematical Society 1994

References

1. Berndt, J., Real hypersurfaces with constant principal curvatures in complex hyperbolic space, J. Reine Angew. Math. 395(1989), 132–141.Google Scholar
2. Berndt, J., Real hypersurfaces with constant principal curvatures in complex space forms, Geometry and Topology of Submanifolds II, Avignon, 1988,10-19, World Scientific, 1990.Google Scholar
3. Cecil, T. E. and Ryan, P. J., Focal sets and real hypersurfaces in complex projective space, Trans. Amer. Math. Soc. 269(1982), 481–499.Google Scholar
4. Chen, B. Y., Ludden, G. D. and Montiel, S., Realsubmanifoldofa Kaehler manifold, Algebras Groups Geom. 1(1984), 176–212.Google Scholar
5. Ki, U-H. and Sun, Y. J., On real hypersurfaces of a complex space form, Math. J. Okayama Univ. 32(1990), 207–221.Google Scholar
6. Kimura, M., Real hypersurfaces and complex submanifolds in complex projective space, Trans. Amer. Math. Soc. 296(1986), 137–149.Google Scholar
7. Kimura, M., Sectional curvatures of holomorphic planes on a real hypersurface in Pn(C), Math. Ann. 276 (1987), 487–497.Google Scholar
8. Maeda, Y., On real hypersurfaces of a complex projective space, J. Math. Soc. Japan 28(1976), 529–540.Google Scholar
9. Montiel, S., Real hypersurfaces of a complex hyperbolic space, J. Math. Soc. Japan 37(1985), 515–535.Google Scholar
10. Montiel, S. and Romero, A., On some real hypersurfaces of a complex hyperbolic space, Geom. Dedicata 20(1986), 245–261.Google Scholar
11. Okumura, M., On some real hypersurfaces of a complex projective space, Trans. Amer. Math. Soc. 212 (1975), 355–364.Google Scholar
12. Suh, Y. J. and R.Takagi, A rigidity for real hypersurfaces in a complex projective space, Tohoku Math. J. 43(1991), 501–507.Google Scholar
13. Takagi, R., On homogeneous real hypersurfaces of a complex projective space, Osaka J. Math. 10(1973), 495–506.Google Scholar
14. Takagi, R., Real hypersurfaces in a complex projective space with constant principal curvature I, II, J. Math. Soc. Japan 27(1975), 43–53,507-516.Google Scholar