Previous |  Up |  Next

Article

Keywords:
real hypersurface; structure Jacobi operator
Summary:

References:
[1] Blair, D. E.: Riemannian geometry of contact and symplectic manifolds. Progress in Mathematics, Vol 203, Birkhäuser Boston Inc. Boston, Ma (2002). MR 1874240 | Zbl 1011.53001
[2] Cho, J. T., Ki, U-H.: Jacobi operators on real hypersurfaces of a complex projective space. Tsukuba J. Math. 22 (1998), 145-156. MR 1637676 | Zbl 0983.53034
[3] Cho, J. T., Ki, U-H.: Real hypersurfaces of a complex projective space in terms of the Jacobi operators. Acta Math. Hungar. 80 (1998), 155-167. MR 1624562
[4] Ki, U-H., Kim, H. J., Lee, A. A.: The Jacobi operator of real hypersurfaces in a complex space form. Commun. Korean Math. Soc. 13 (1998), 545-560. MR 1732704 | Zbl 0969.53026
[5] Kimura, M.: Sectional curvatures of holomorphic planes on a real hypersurface in $P^n(\mathbb C)$. Math. Ann. 276 (1987), 487-497. MR 0875342 | Zbl 0605.53023
[6] Lohnherr, M., Reckziegel, H.: On ruled real hypersurfaces in complex space forms. Geom. Dedicata 74 (1999), 267-286. MR 1669351 | Zbl 0932.53018
[7] Niebergall, R., Ryan, P. J.: Real hypersurfaces in complex space forms, in Tight and Taut Submanifolds. MSRI Publications 32 (1997), 233-305. MR 1486875
[8] Okumura, M.: On some real hypersurfaces of a complex projective space. Trans. A.M.S. 212 (1975), 355-364. MR 0377787 | Zbl 0288.53043
[9] Ortega, M., Pérez, J. D., Santos, F. G.: Non-existence of real hypersurfaces with parallel structure Jacobi operator in nonflat complex space forms. Rocky Mountain J. Math. 36 (2006), 1603-1613. MR 2285303 | Zbl 1139.53036
[10] Pérez, J. D., Santos, F. G., Suh, Y. J.: Real hypersurfaces in complex projective space whose structure Jacobi operator is $\mathbb D$-parallel. Bull. Belg. Math. Soc. Simon Stevin 13 (2006), 459-469. MR 2307681
[11] Takagi, R.: On homogeneous real hypersurfaces in a complex projective space. Osaka J. Math. 10 (1973), 495-506. MR 0336660 | Zbl 0274.53062
[12] Takagi, R.: Real hypersurfaces in complex projective space with constant principal curvatures. J. Math. Soc. Japan 27 (1975), 43-53. MR 0355906
[13] Takagi, R.: Real hypersurfaces in complex projective space with constant principal curvatures II. J. Math. Soc. Japan 27 (1975), 507-516. MR 0400120
Partner of
EuDML logo