On some real hypersurfaces of a complex projective space
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- by Masafumi Okumura PDF
- Trans. Amer. Math. Soc. 212 (1975), 355-364 Request permission
Abstract:
A principal circle bundle over a real hypersurface of a complex projective space $C{P^n}$ can be regarded as a hypersurface of an odd-dimensional sphere. From this standpoint we can establish a method to translate conditions imposed on a hypersurface of $C{P^n}$ into those imposed on a hypersurface of ${S^{2n + 1}}$. Some fundamental relations between the second fundamental tensor of a hypersurface of $C{P^n}$ and that of a hypersurface of ${S^{2n + 1}}$ are given.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 212 (1975), 355-364
- MSC: Primary 53C55; Secondary 32C10
- DOI: https://doi.org/10.1090/S0002-9947-1975-0377787-X
- MathSciNet review: 0377787