A useful characterization of some real hypersurfaces in a nonflat complex space form

• Autorzy: Itoh T. , Maeda S.
• Języki publikacji: EN

Abstrakty

EN

We characterize totally η-umbilic real hypersurfaces in a nonflat complex space form [...](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 geodesies on those real hypersurfaces as curves in the ambient manifolds (Theorems 1 and 2).

Słowa kluczowe

EN

geodesics; plane curves of positive curvature; Frenet curves of proper order 2; totally η-umbilic real hypersurfaces; real hypersurfaces of type A2; nonflat complex space forms; ruled real hypersurfaces

PL

geodetyka

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: Vol. 54, no 2
• Strony: 125--136
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Itoh T.

autor

Maeda S.

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

Bibliografia

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