A characterization of a certain real hypersurface of type (A(2)) in a complex projective space

作者：Kim Byung Hak^*; Kim In Bae; Maeda Sadahiro

来源：Czechoslovak Mathematical Journal, 2017, 67(1): 271-278.

DOI：10.21136/CMJ.2017.0546-15

• ruled real hypersurface
• nonflat complex space form
• real hypersurfaces of type (A(2)) in a complex projective space
• geodesics
• structure torsion
• Hopf manifold

In the class of real hypersurfaces M (2n-1) isometrically immersed into a nonflat complex space form of constant holomorphic sectional curvature c (not equal 0) which is either a complex projective space a",P (n) (c) or a complex hyperbolic space a",H (n) (c) according as c > 0 or c < 0, there are two typical examples. One is the class of all real hypersurfaces of type (A) and the other is the class of all ruled real hypersurfaces. Note that the former example are Hopf manifolds and the latter are non-Hopf manifolds. In this paper, inspired by

• 出版日期2017-3