Hostname: page-component-8448b6f56d-dnltx Total loading time: 0 Render date: 2024-04-24T23:25:25.792Z Has data issue: false hasContentIssue false
  • English
  • Français

Real hypersurfaces of a complex projective space

Published online by Cambridge University Press:  17 April 2009

M. Kimura
M. Kimura
Affiliation:
Department of Mathematics, Tokyo Metropolitan University, Setagayaku, Tokyo 158, Japan.
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.

We study real hypersurfaces M of a complex projective space and show that a condition on the derivative of the Ricci Tensor of M implies M is locally homogeneous with two or three principal curvatures.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 33 , Issue 3 , June 1986 , pp. 383 - 387
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Cecil, T. E. and Ryan, P. J., “Focal sets and real hypersurfaces in complex projective space”, Trans. Amer. Math. Soc. 269 (1982), 481–499.Google Scholar
[2]Kimura, M., “Real hypersurfaces and complex submanifolds in complex projective space”, Trans. Amer. Math. Soc. (to appear).Google Scholar
[3]Kon, M., ”Pseudo–Einstein real hypersurfaces in complex space forms”, J. Differential Geom. 14 (1979), 339–354.Google Scholar
[4]Maeda, S., “Real hypersurfaces of a complex projective space II”, Bull. Austral. Math. Soc. 29 (1984), 123–127.Google Scholar
[5]Maeda, Y., “On real hypersurfaces of a complex projective space”. J. Math. Soc. Japan 28 (1976), 529–540.CrossRefGoogle Scholar
[6]Okumura, M., “On some real hypersurfaces of a complex projective space”, Trans. Amer. Math. Soc. 212 (1975), 355–364.CrossRefGoogle Scholar