Bernstein and Half-Space Properties for Minimal Graphs Under Ricci Lower Bounds
Bernstein and Half-Space Properties for Minimal Graphs Under Ricci Lower Bounds
In this paper, we prove a new gradient estimate for minimal graphs defined on domains of a complete manifold with Ricci curvature bounded from below. In particular, we show that positive, entire minimal graphs on manifolds with non-negative Ricci curvature are constant, and that complete, parabolic manifolds with Ricci curvature …