Geodesic
On a Characterization of Real Hypersurfaces of Type a in a Complex Space Form
Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 238-244

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1994-035-8
Mots-clés : 53C40, 53C15 
Ki, U-Hang; Suh, Young-Jin. On a Characterization of Real Hypersurfaces of Type a in a Complex Space Form. Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 238-244. doi: 10.4153/CMB-1994-035-8
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[1] 1. Berndt, J., Real hypersurfaces with constant principal curvatures in complex hyperbolic space, J. Angew. Math. 395(1989), 132–141. Google Scholar

[2] 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] 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] 4. Chen, B. Y., Ludden, G. D. and Montiel, S., Realsubmanifoldofa Kaehler manifold, Algebras Groups Geom. 1(1984), 176–212. Google Scholar

[5] 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] 6. Kimura, M., Real hypersurfaces and complex submanifolds in complex projective space, Soc. 296(1986), 137–149. Google Scholar

[7] 7. Kimura, M., Sectional curvatures of holomorphic planes on a real hypersurface in P(C), Math. Ann. 276 (1987), 487–497. Google Scholar

[8] 8. Maeda, Y., On real hypersurfaces of a complex projective space, Soc. Japan 28(1976), 529–540. Google Scholar

[9] 9. Montiel, S., Real hypersurfaces of a complex hyperbolic space, J. Math. Soc. Japan 37(1985), 515–535. Google Scholar

[10] 10. Montiel, S. and Romero, A., On some real hypersurfaces of a complex hyperbolic space, Geom. Dedicata 20(1986), 245–261. Google Scholar

[11] 11. Okumura, M., On some real hypersurfaces of a complex projective space, Trans. Amer. Math. Soc. 212 (1975), 355–364. Google Scholar

[12] 12. Suh, Y. J. and Takagi, A rigidity for real hypersurfaces in a complex projective space, Tohoku Math. J. 43(1991), 501–507. Google Scholar

[13] 13. Takagi, R., On homogeneous real hypersurfaces of a complex projective space, Osaka J. Math. 10(1973), 495–506. Google Scholar

[14] 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

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