A Useful Characterization of Some Real Hypersurfaces in a Nonflat Complex Space Form
Takehiro Itoh ; Sadahiro Maeda
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006), p. 125-136 / Harvested from The Polish Digital Mathematics Library
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We characterize totally η-umbilic real hypersurfaces in a nonflat complex space form M̃ₙ(c) (= ℂPⁿ(c) or ℂHⁿ(c)) and a real hypersurface of type (A₂) of radius π/(2√c) in ℂPⁿ(c) by observing the shape of some geodesics on those real hypersurfaces as curves in the ambient manifolds (Theorems 1 and 2).

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:280797 
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Takehiro Itoh; Sadahiro Maeda. A Useful Characterization of Some Real Hypersurfaces in a Nonflat Complex Space Form. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) pp. 125-136. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-2-4/