Surfaces as Graphs of Finite Type in H2 × R

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In this paper, we prove that ∆X = 2H where ∆ is the Laplacian operator, r = (x, y, z) the position vector field and H is the mean curvature vector field of a surface S in H2 × R and we study surfaces as graphs in H2 × R which has finite type immersion.

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