Article ID Journal Published Year Pages File Type
1898504 Journal of Geometry and Physics 2014 5 Pages PDF
Abstract

In this paper, we introduce some notions of invariancy for the Ricci tensor on real hypersurfaces in complex two-plane Grassmannians G2(Cm+2)G2(Cm+2), namely, FF-invariant and invariant Ricci tensor. Using these notions, we give non-existence theorem and characterization for the special case among the real hypersurfaces of Type  (A)(A) in G2(Cm+2)G2(Cm+2), respectively. Here the distribution FF is defined by F=[ξ]∪D⊥F=[ξ]∪D⊥ where D⊥=Span{ξ1,ξ2,ξ3}D⊥=Span{ξ1,ξ2,ξ3} and [ξ]=Span{ξ}[ξ]=Span{ξ}.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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