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A MINIMAL REAL HYPERSURFACE OF A COMPLEX PROJECTIVE SPACE WITH NONNEGATIVE SECTIONAL CURVATURE

Part of: Global differential geometry

Published online by Cambridge University Press:  17 March 2010

MAYUKO KON
MAYUKO KON*
Affiliation:
Department of Mathematics, Hokkaido University, Kita 10 Nishi 8, Sapporo 060-0810, Japan (email: mayuko_k13@math.sci.hokudai.ac.jp)
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Abstract

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We give a characterization of a minimal real hypersurface with respect to the condition for the sectional curvature.

Keywords

sectional curvatureminimal hypersurfacecomplex projective space

MSC classification

Secondary: 53C40: Global submanifolds 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 3 , June 2010 , pp. 488 - 492
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

[1]Kon, M., ‘Real minimal hypersurfaces in a complex projective space’, Proc. Amer. Math. Soc. 79 (1980), 285–288.CrossRefGoogle Scholar
[2]Lawson, H. B. Jr, ‘Rigidity theorems in rank-1 symmetric spaces’, J. Differential Geom. 4 (1970), 349–357.CrossRefGoogle Scholar
[3]Takagi, R., ‘Real hypersurfaces in a complex projective space with constant principal curvatures’, J. Math. Soc. Japan 27 (1975), 43–53.Google Scholar
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[5]Wang, Q. M., ‘Real hypersurfaces with constant principal curvatures in complex projective spaces (I)’, Sci. Sinica Ser. A 26 (1983), 1017–1024.Google Scholar
[6]Yano, K. and Kon, M., Structures on Manifolds (World Scientific, Singapore, 1984).Google Scholar