Rigidity of compact quasi-Einstein manifolds with boundary
Rigidity of compact quasi-Einstein manifolds with boundary
In this article, we investigate the geometry of compact quasi-Einstein manifolds with boundary. We establish the possible values for the constant scalar curvature of a compact quasi-Einstein manifold with boundary. Moreover, we show that a $3$-dimensional simply connected compact $m$-quasi-Einstein manifold with boundary and constant scalar curvature must be isometric, …