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arxiv: math/0407474 · v1 · submitted 2004-07-28 · 🧮 math.DG · math.AP

Interior Gradient Bound For Minimal Graphs in a Product Manifold

classification 🧮 math.DG math.AP
keywords boundgradientgraphsinteriormanifoldminimalassumptionscomplete
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Let $(M, g)$ be an $n$-dimensional complete Riemannian manifold with $Ric(M)\geq-(n-1)Q$, where $Q\geq0$ 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.

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