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Interior Gradient Bound For Minimal Graphs in a Product Manifold

Li Ma, Dezhong Chen

math.DGarXiv:math/0407474

Abstract

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

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