Comparison Geometry of Manifolds with Boundary under a Lower Weighted Ricci Curvature Bound

Source abstract

Abstract We study Riemannian manifolds with boundary under a lower weighted Ricci curvature bound. We consider a curvature condition in which the weighted Ricci curvature is bounded from below by the density function. Under the curvature condition and a suitable condition for the weighted mean curvature for the boundary, we obtain various comparison geometric results.