28 citations · 94 across the 22 of their papers we have counts for
23 papers
Compact gradient Einstein-type manifolds with boundary and constant scalar curvature
Xiaomin Chen
Inspired by the study of -static manifold about classification, in this article, we apply the recent results obtained by Freitas and Gomes (Compact gradient Einstein-type manifo…
A graph inequality on the common neighbourhood
Xiaomin Chen, Fenglin Huang, Shuhan Zhou +2
In this note we prove a graph inequality based on the sizes of the common neighbourhoods. We also characterize the extremal graphs that achieve the equality. The result was first d…
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…
Matrix Boussinesq solitons and their tropical limit
Aristophanes Dimakis, Folkert Müller-Hoissen, Xiao-Min Chen
We study soliton solutions of matrix "good" Boussinesq equations, generated via a binary Darboux transformation. Essential features of these solutions are revealed via their "tropi…