Article ID Journal Published Year Pages File Type
1894107 Journal of Geometry and Physics 2010 14 Pages PDF
Abstract

In this paper, first we introduce the full expression for the Ricci tensor of a real hypersurface MM in complex two-plane Grassmannians G2(Cm+2)G2(Cm+2) from the equation of Gauss. Next we prove that a Hopf hypersurface in complex two-plane Grassmannians G2(Cm+2)G2(Cm+2) with commuting Ricci tensor is locally congruent to a tube of radius rr over a totally geodesic G2(Cm+1)G2(Cm+1). Finally it can be verified that there do not exist any Hopf Einstein hypersurfaces in G2(Cm+2)G2(Cm+2).

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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