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• W2894591071 abstract "The difference tensor C.R - R.C of Einstein manifolds, some quasi-Einstein manifolds and Roter type manifolds, of dimension n > 3, satisfy the following curvature condition: (A) C.R - R.C = Q(S,C) - (k /(n-1)) Q(g,C). We investigate hypersurfaces M in space forms N satisfying (A). The main result states that if the tensor C.R - R.C of a non-quasi-Einstein hypersurface M in N is a linear combination of the tensors Q(g,C) and Q(S,C) then (A) holds on M. In the case when M is a quasi-Einstein hypersurface in N and some additional assumptions are satisfied then (A) also holds on M." @default.
• W2894591071 created "2018-10-12" @default.
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• W2894591071 date "2018-10-02" @default.
• W2894591071 modified "2023-10-16" @default.
• W2894591071 title "Hypersurfaces in space forms satisfying some generalized Einstein metric condition" @default.
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• W2894591071 hasPublicationYear "2018" @default.
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