Characterization of totally $\eta $-umbilic real hypersurfaces in nonflat complex space forms by some inequality

Takehiro Itoh; Sadahiro Maeda

doi:10.3792/pjaa.80.61

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May 2004 Characterization of totally $\eta $-umbilic real hypersurfaces in nonflat complex space forms by some inequality

Takehiro Itoh, Sadahiro Maeda

Proc. Japan Acad. Ser. A Math. Sci. 80(5): 61-64 (May 2004). DOI: 10.3792/pjaa.80.61

Abstract

In this paper we characterize all totally $\eta$-umbilic real hypersurfaces $M$'s in complex projective or complex hyperbolic spaces by using an inequality related to the shape operator $A$ of $M$.

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Takehiro Itoh. Sadahiro Maeda. "Characterization of totally $\eta $-umbilic real hypersurfaces in nonflat complex space forms by some inequality." Proc. Japan Acad. Ser. A Math. Sci. 80 (5) 61 - 64, May 2004. https://doi.org/10.3792/pjaa.80.61