Real hypersurfaces in complex two-plane Grassmannians with ξ-invariant Ricci tensor (vol 61, pg 808, 2011)

[摘要] In this paper, we introduce some notions of invariancy for the Ricci tensor on real hypersurfaces in complex two-plane Grassmannians G(2) (Cm+2), namely, F-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) in G(2)(Cm+2), respectively. Here the distribution F is defined by F = [xi] boolean OR D-perpendicular to where D-perpendicular to = Span{xi(1), xi(2), xi(3)) and [xi] = Span{xi}. (C) 2014 Elsevier B.V. All rights reserved.

[发布日期] 2014-09-01

[关键词] Complex two-plane Grassmannians;Hopf hypersurface;Ricci tensor;Lie-vanishing Ricci tensor;Reeb invariant Ricci tensor;F-invariant Ricci tensor