6 citations · 6 across the 4 of their papers we have counts for
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Quasi-Einstein structures and almost cosymplectic manifolds
Xiaomin Chen
In this article, we study almost cosymplectic manifolds admitting quasi-Einstein structures . First we prove that an almost cosymplectic -manifold is locally i…
Quasi-Einstein hypersurfaces of complex space forms
Xiaomin Chen
Based on a well-known fact that there are no Einstein hypersurfaces in a non-flat complex space form, in this article we study the quasi-Einstein condition, which is a generalizati…
On weakly Einstein almost contact manifolds
Xiaomin Chen
In this article we study almost contact manifolds admitting weakly Einstein metrics. We first prove that if a (2n+1)-dimensional Sasakian manifold admits a weakly Einstein metric t…
Notes on Ricci solitons in -cosymplectic manifolds
Xiaomin Chen
The purpose of this article is to study an -cosymplectic manifold admitting Ricci solitons. Here we consider mainly two classes of Ricci solitons on -cosymplectic manifol…
Real hypersurfaces of complex quadric in terms of star-Ricci tensor
Xiaomin Chen
In this article, we introduce the notion of star-Ricci tensors in the real hypersurfaces of complex quadric . It is proved that there exist no Hopf hypersurfaces in $Q^m,m\geq…