Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898504 | Journal of Geometry and Physics | 2014 | 5 Pages |
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
Authors
Hyunjin Lee, Gyu Jong Kim, Young Jin Suh,