Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894107 | Journal of Geometry and Physics | 2010 | 14 Pages |
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
Authors
Young Jin Suh,