Comparison Theorems on Weighted Finsler Manifolds and Spacetimes with <i>ϵ</i>-Range
Comparison Theorems on Weighted Finsler Manifolds and Spacetimes with <i>ϵ</i>-Range
Abstract We establish the Bonnet–Myers theorem, Laplacian comparison theorem, and Bishop–Gromov volume comparison theorem for weighted Finsler manifolds as well as weighted Finsler spacetimes, of weighted Ricci curvature bounded below by using the weight function. These comparison theorems are formulated with ϵ -range introduced in our previous paper, that provides …