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A note on real hypersurfaces of a complex projective space

Part of: Global differential geometry Local differential geometry

Published online by Cambridge University Press:  09 April 2009

Jung-Hwan Kwon  and
Hisao Nakagawa
Jung-Hwan Kwon
Affiliation:
Department of Mathematics, Taegu University Taegu, 705-033, Korea
Hisao Nakagawa
Affiliation:
Institute of Mathematics, University of Tsukuba Ibaraki, 305, Japan
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Abstract

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We study real hypersurfaces of a complex projection space and show that there are no such hypersurfaces with harmonic curvature on which the structure vector is principal.

MSC classification

Secondary: 53B25: Local submanifolds 53C40: Global submanifolds
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 1 , August 1989 , pp. 108 - 113
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Kimura, M. ‘Real hypersurfaces and complex submanifolds in complex projective space’, Trans. Amer. Math. Soc. 296 (1986), 137–149.Google Scholar
[2]Kimura, M., ‘Real hypersurfaces of a complex projective space’ Bull. Austral. Math. Soc. 33 (1986), 383–387.CrossRefGoogle Scholar
[3]Kwon, J.-H. and Nakagawa, H., ‘Real hypersurfaces with cyclic-parallel Ricci tensor of a complex projective space’, Hokkaido Math. J. 17 (1988), 355–371.Google Scholar
[4]Takagi, R., ‘Real hypersurfaces in a complex projective space with constant principal curvatures’, J. Math. Soc. Japan 27 (1975), 43–53.Google Scholar
[5]Yano, K. and Kon, M., ‘CR submanifolds of Kaehlerian and Sasakian manifolds’, Birkhäuser, 1983.Google Scholar