Ricci solitons and real hypersurfaces in a complex space form
نویسندگان
چکیده
منابع مشابه
Pseudo Ricci symmetric real hypersurfaces of a complex projective space
Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
متن کاملpseudo ricci symmetric real hypersurfaces of a complex projective space
pseudo ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo ricci symmetric real hypersurfaces of the complex projective space cpn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
متن کاملReal 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...
متن کاملReal Hypersurfaces in a Euclidean Complex Space Form
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: Tohoku Mathematical Journal
سال: 2009
ISSN: 0040-8735
DOI: 10.2748/tmj/1245849443