Cyclic-parallel real hypersurfaces of a complex space form
نویسندگان
چکیده
منابع مشابه
Real Hypersurfaces of a Complex Space Form
In this paper, we show that an n-dimensional connected noncompact Ricci soliton isometrically immersed in the at complex space form (C n+1 2 ; J; h; i), with potential vector eld of the Ricci soliton is the characteristic vector eld of the real hypersurface is an Einstein manifold. We classify connected Hopf hypersurfaces in the at complex space form (C n+1 2 ; J; h; i) and also obtain a ch...
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Let M be an orientable connected and compact real hypersurface of the complex space form C(n+1)/2. If the mean curvature α and the function f = g(Aξ, ξ) of hypersurface M satisfy the inequalityn2α2 ≤ (n2 − 1)δ + f 2, where ξ is the characteristic vector field,A is the shape operator and (n− 1)δ is the infimum of the Ricci curvatures of hypersurface M , then it is shown that α is a constant and ...
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 1988
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496160647