SOME PROBLEMS ON 3-DIMENSIONAL REAL HYPERSURFACES IN COMPLEX SPACE FORMS

Abstract

Niebergall and Ryan posed some open questions on 3-dimensional real hypersurfaces in complex space forms. In this paper we give affirmative answers to such kind of questions.

Keywords

• real hypersurface;
• complex space form;
• Hopf hypersurface.holomorphic sectional curvature

File

Download PDF

References

1. Tsukuba J. Math. v.13 Real hypersurfaces with parallel Ricci tensor of a complex space form U-H. Ki
2. Canad. Math. Bull. v.37 On a characterization of real hypersurfaces of type A in a complex space form U-H. Ki;Y. J. Suh
3. Tsukuba J. Math. v.12 A note on real hypersurfaces of a complex hyperbolic space H.-J. KIm
4. J. Austral. Math. Soc. Ser. A. v.47 A note on real hypersurfaces of complex projective space J.-H. Kwon;H. Nakagawa
5. Math. Sci. Res. Inst. Publ. v.32 Real hypersurfaces of a complex space forms Tight and taut submanifolds (Berkely, CA, 1994) Ross Niebergall;Patrick J. Ryan
6. Tusukuba J. Math. v.14 On real hypersurfaces of a complex space form with η-parallel Ricci tensor Y. J. Suh