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Interior Gradient Bound For Minimal Graphs in a Product Manifold

Li Ma·Dezhong Chen
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Abstract

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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Li Ma, Dezhong Chen. 2004-07-28. Interior Gradient Bound For Minimal Graphs in a Product Manifold. https://arxiv.org/abs/math/0407474

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