Abstract
We prove that the Ricci tensor of a real hypersurface of a complex space form $M^n(c)$, $c\neq 0$, $n\geq 3$, satisfies Ricci pseudo $\eta$-parallel condition if and only if $M$ is pseudo-Einstein.
Citation
Mayuko Kon. "Ricci pseudo $\eta$-parallel real hypersurfaces." Nihonkai Math. J. 24 (1) 45 - 55, 2013.
Information
Published: 2013
First available in Project Euclid: 5 September 2013
zbMATH: 1285.53013
MathSciNet: MR3114124
Subjects:
Primary:
53B25
,
53C55
Secondary:
53C25
Keywords:
Complex space form
,
pseudo $\eta$-parallel
,
real hypersurface
,
Ricci tensor
Rights: Copyright © 2013 Niigata University, Department of Mathematics
