Harmonic curvature for real hypersurfaces in complex hyperbolic two plane Grassmannians

초록

In this paper we first introduce the full expression of the curvature tensor of a real hypersurface M in complex hyperbolic two-plane Grassmannians SU2 ,m/S(U-2.U-m) from the equation of Gauss and derive a new formula for the Ricci tensor of M in SU2 ,m/S(U-2.U-m). Finally we give a complete classification for Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2 ,m/S(U-2.U-m) with harmonic curvature or harmonic Weyl tensor. (C) 2020 Elsevier B.V. All rights reserved.

키워드