TITLE:
The Ricci Operator and Shape Operator of Real Hypersurfaces in a Non-Flat 2-Dimensional Complex Space Form
AUTHORS:
Dong Ho Lim, Woon Ha Sohn, Hyunjung Song
KEYWORDS:
Real Hypersurface; η-Parallel Shape Operator; η-Parallel Ricci Operator; Hopf Hypersurface; Ruled Real Hypersurfaces
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.2,
March
7,
2013
ABSTRACT:
In this paper, we study a real hypersurface M in a non-at 2-dimensional complex space form M2(c) with η-parallel Ricci and shape operators. The characterizations of these real hypersurfaces are obtained.