Geometric analysis on weighted manifolds under lower $0$-weighted Ricci
curvature bounds
Geometric analysis on weighted manifolds under lower $0$-weighted Ricci
curvature bounds
We develop geometric analysis on weighted Riemannian manifolds under lower $0$-weighted Ricci curvature bounds. Under such curvature bounds, we prove a first Steklov eigenvalue estimate of Wang-Xia type on compact weighted manifolds with boundary, and a first eigenvalue estimate of Choi-Wang type on closed weighted minimal hypersurfaces. We also produce …