17 citations · 50 across the 23 of their papers we have counts for
23 papers
On Euler characteristic and fundamental groups of compact manifolds
Bing-Long Chen, Xiaokui Yang
Let be a compact Riemannian manifold, be the universal covering and be a smooth -form on with cohomologous to zero. Suppose the…
Compact Khler manifolds homotopic to negatively curved Riemannian manifolds
Bing-Long Chen, Xiaokui Yang
In this paper, we show that any compact Khler manifold homotopic to a compact Riemannian manifold with negative sectional curvature admits a Khler-Einstein metric of general…
On stationary solutions to the non-vacuum Einstein field equations
Bing-Long Chen
We derive a local curvature estimate for four-dimensional stationary solutions to the inheriting Einstein-Maxwell-Klein-Gordon equations. In particular, it implies that any such st…
On stationary solutions to the vacuum Einstein field equations
Bing-Long Chen
We prove that any 4-dimensional geodesically complete spacetime with a timelike Killing field satisfying the vacuum Einstein field equation with nonnegative cos…
Euler characteristic numbers of space-like manifolds
Bing-Long Chen, Kun Zhang
In this note, we prove that if a compact even dimensional manifold with negative sectional curvature is homotopic to some compact space-like manifold , then the Eule…
Path-connectedness of the moduli spaces of metrics with positive isotropic curvature on four-manifolds
Bing-Long Chen, Xian-Tao Huang
In this paper we prove the path connectedness of the moduli spaces of metrics with positive isotropic curvature on certain compact four-dimensional manifolds.