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math.DG2011
Gradient estimate for eigenforms of Hodge Laplacian
Jiaping Wang, Linfeng Zhou
In this paper, we derive a gradient estimate for the linear combinations of eigenforms of the Hodge Laplacian on a closed manifold. The estimate is given in terms of the dimension,…
math.DG2011
Two dimensional disjoint minimal graphs
Linfeng Zhou
In this paper, under the assumption of Gauss curvature vanishing at infinity, we will prove Meeks' conjecture: the number of disjointly supported minimal graphs in i…