CHARACTERIZATIONS OF REAL HYPERSURFACES OF COMPLEX SPACE FORMS IN TERMS OF RICCI OPERATORS

Title & Authors
CHARACTERIZATIONS OF REAL HYPERSURFACES OF COMPLEX SPACE FORMS IN TERMS OF RICCI OPERATORS
Sohn, Woon-Ha;

Abstract
We prove that a real hypersurface M in a complex space form Mn(c), $\small{c{\neq}0}$, whose Ricci operator and structure tensor commute each other on the holomorphic distribution and the Ricci operator is $\small{{\eta}-parallel}$, is a Hopf hypersurface. We also give a characterization of this hypersurface.
Keywords
real hypersurfaces in complex space forms;Hopf hypersurfaces;model spaces of type A or B;
Language
English
Cited by
1.
The Ricci Operator and Shape Operator of Real Hypersurfaces in a Non-Flat 2-Dimensional Complex Space Form, Advances in Pure Mathematics, 2013, 03, 02, 254
2.
A study of real hypersurfaces with Ricci operators in 2-dimensional complex space forms, Pacific Journal of Mathematics, 2013, 266, 2, 305
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