https://neckpinch.com/authors/xiaomin-chen/New arXiv papers by Xiaomin Chen, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1909.00753/arxiv:1909.00753Mon, 02 Sep 2019 00:00:00 GMTXiaomin 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 generalization of an Einstein metric, on the real hyersurface of a non-flat complex space form. For the real hypersurface with quasi-Einstein metric of a complex Euclidean space, we also give a classification. Since a gradient Ricci soliton is a special quasi-Einstein metric, our results improve some conclusions of.Ricci solitonsEinstein metricsAlmost & η-Ricci solitonsSphere theorems https://neckpinch.com/papers/1801.05530/arxiv:1801.05530Wed, 17 Jan 2018 00:00:00 GMTXiaomin Chen — The purpose of this article is to study an f-cosymplectic manifold M admitting Ricci solitons. Here we consider mainly two classes of Ricci solitons on f-cosymplectic manifolds. One is the class of contact Ricci solitons. The other is the class of gradient Ricci solitons, for which we give the local classifications of M. Meanwhile, we also give some properties of f-cosymplectic manifolds.Ricci solitonsSasakian & contact geometry https://neckpinch.com/papers/1801.04398/arxiv:1801.04398Sat, 13 Jan 2018 00:00:00 GMTXiaomin Chen — In this article we study an almost f-cosymplectic manifold admitting a Ricci soliton. We first prove that there do not exist Ricci solitons on an almost cosymplectic (κ,μ)-manifold. Further, we consider an almost f-cosymplectic manifold admitting a Ricci soliton whose potential vector field is the Reeb vector field and show that a three dimesional almost f-cosymplectic is a cosymplectic manifold. Finally we classify a three dimensional η-Einstein almost f-cosymplectic manifold admitting a Ricci soliton.Ricci solitons3-manifoldsSasakian & contact geometry https://neckpinch.com/papers/1711.06384/arxiv:1711.06384Fri, 17 Nov 2017 00:00:00 GMTXiaomin Chen — Kaimakamis and Panagiotidou in introduced the notion of ^*-Ricci soliton and studied the real hypersurfaces of a non-flat complex space form admitting a ^*-Ricci soliton whose potential vector field is the structure vector field. In this article, we consider that a real hypersurface of a non-flat complex space form admits a ^*-Ricci soliton whose potential vector field belongs to the principal curvature space and the holomorphic distribution.Ricci solitonsSphere theorems https://neckpinch.com/papers/1710.10627/arxiv:1710.10627Sun, 29 Oct 2017 00:00:00 GMTXiaomin Chen — In this article, we introduce the notion of star-Ricci tensors in the real hypersurfaces of complex quadric Q^m. It is proved that there exist no Hopf hypersurfaces in Q^m,m≥3, with commuting star-Ricci tensor or parallel star-Ricci tensor. As a generalization of star-Einstein metric, star-Ricci solitons on M are considered. In this case we show that M is an open part of a tube around a totally geodesic ℂP^m/2⊂ Q^(m),m≥4.Ricci solitonsEinstein metrics