Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.
We classify real hypersurfaces in complex projective space whose structure Jacobi operator satisfies two conditions at the same time.
[1] Baikoussis, C., A characterization of real hypersurfaces in complex space forms in terms of the Ricci tensor. Canad. Math. Bull.40(1997), 257–265. doi:10.4153/CMB-1997-031-5Google Scholar
2
[2] 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
3
[3] Ki, U-H. and Suh, Y. J., On a characterization of real hypersurfaces of type A in a complex space form. Canad. Math. Bull.37(1994), 238–244. doi:10.4153/CMB-1994-035-8Google Scholar
4
[4] Kimura, M., Sectional curvatures of holomorphic planes on a real hypersurface in Pn(ℂ). Math. Ann.276(1987), 487–497. doi:10.1007/BF01450843Google Scholar
5
[5] Lee, H. J., de Dios Pérez, J., Santos, F. G., and Suh, Y. J., On the structure Jacobi operator of a real hypersurface in complex projective space. Monatsh. Math.158(2009), no. 2, 187–194. doi:10.1007/s00605-008-0025-7Google Scholar
6
[6] Okumura, M., On some real hypersurfaces of a complex projective space. Trans. Amer. Math. Soc.212(1975), 355–364. doi:10.1090/S0002-9947-1975-0377787-XGoogle Scholar
7
[7] Suh, Y. J., A characterization of ruled real hypersurfaces in Pn(C). J. Korean Math. Soc.29(1992), 351–359.Google Scholar
8
[8] Takagi, R., Real hypersurfaces in a complex projective space with constant principal curvatures. J. Math. Soc. Japan27(1975), 43–53. doi:10.2969/jmsj/02710043Google Scholar
9
[9] Takagi, R., Real hypersurfaces in a complex projective space with constant principal curvatures II. J. Math. Soc. Japan27(1975), 507–516. doi:10.2969/jmsj/02740507Google Scholar