Makoto Kimura

Characterizations of three homogeneous real hypersurfaces in a complex projective space

In an n-dimensional complex hyperbolic space CH(c) of constant holomorphic sectional curvature c(< 0), the horosphere HS, which is defined by HS = limr→∞ G(r), is one of nice examples in the class of real hypersurfaces. Here, G(r) is a geodesic sphere of radius r (0 < r < ∞) in CH(c). The second author ([14]) gave a geometric characterization of HS. In this paper, motivated by this result, we study real hypersurfaces M2n−1 isometrically immersed into an n-dimensional complex projective space CP (c) of constant holomorphic sectional curvature c(> 0).