A Useful Characterization of Some Real Hypersurfaces in a Nonflat Complex Space Form

• Autorzy: Takehiro Itoh , Sadahiro Maeda
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 53B25: Local submanifolds
• 53C40: Global submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: 54
• Numer: 2
• Strony: 125-136

Daty

wydano

2006

Twórcy

autor

Takehiro Itoh

• Faculty of Education, Shinshu University, 6-ro, Nishi-Nagano, Nagano 380-8544, Japan

autor

Sadahiro Maeda

• Department of Mathematics, Shimane University, Matsue, Shimane, 690-8504, Japan

Identyfikatory

DOI

10.4064/ba54-2-4