Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-26T15:40:20.163Z Has data issue: false hasContentIssue false
  • English
  • Français

CHARACTERIZATIONS OF HYPERSURFACES OF TYPE A2 IN A COMPLEX PROJECTIVE SPACE

Part of: Global differential geometry Local differential geometry

Published online by Cambridge University Press:  01 February 2008

SADAHIRO MAEDA  and
TOSHIAKI ADACHI
SADAHIRO MAEDA
Affiliation:
Department of Mathematics, Shimane University, Matsue 690-8504, Japan
TOSHIAKI ADACHI
Affiliation:
Department of Mathematics, Nagoya Institute of Technology, Gokiso Nagoya 466-8555, Japan (email: adachi@nitech.ac.jp)
Rights & Permissions [Opens in a new window]

Abstract

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.

In this paper, we characterize hypersurfaces of type A2 in a complex projective space in terms of their geodesics.

Keywords

type A2 hypersurfacescomplex projective spaceextrinsic geodesicsstructure torsionruled real hypersurfaces

MSC classification

Secondary: 53B25: Local submanifolds 53C40: Global submanifolds
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 1 , February 2008 , pp. 1 - 8
Copyright
Copyright © Australian Mathematical Society 2008

References

[1]Adachi, T., ‘Geodesics on real hypersurfaces of type A 2 in a complex space form’, Mon. Math. (2008), to appear.CrossRefGoogle Scholar
[2]Adachi, T., Maeda, S. and Yamagishi, M., ‘Length spectrum of geodesic spheres in a non-flat complex space form’, J. Math. Soc. Japan 54 (2002), 373–408.CrossRefGoogle Scholar
[3]Itoh, T. and Maeda, S., ‘Practical characterization of some real hypersurfaces in a nonflat complex space form’, Monatsh. Math. 149 (2006), 233–242.Google Scholar
[4]Kimura, M., ‘Sectional curvatures of holomorphic planes on a real hypersurface in ’, Math. Ann. 276 (1987), 487–497.CrossRefGoogle Scholar
[5]Niebergall, R. and Ryan, P. J., ‘Real hypersurfaces in complex space forms’, in: Tight and taut submanifolds (eds. T. E. Cecil and S. S. Chern) (Cambridge University Press, Cambridge, 1998), pp. 233–305.Google Scholar