Interior Gradient Bound For Minimal Graphs in a Product Manifold

Abstract

Let $(M,g)$ be an $n$-dimensional complete Riemannian manifold with $Ric(M)\ge -(n-1)Q$, where $Q\ge 0$ is a constant. We obtain an interior gradient bound for minimal graphs in $M\times R$ under some technical assumptions. For details, see Theorem 2.

9 pages