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math.DG2018
Uniqueness of minimal surfaces, Jacobi fields, and flat structures
Hojoo Lee
Inspired by the Finn-Osserman (1964), Chern (1969), do Carmo-Peng (1979) proofs of the Bernstein theorem, which characterizes flat planes as the only entire minimal graphs, we prov…
math.DG2018★ 1 cited
Two flat structures on minimal surfaces
Hojoo Lee
In this expository article, we illustrate how two independent flat structures on minimal surfaces induce a harmonic function, which captures the uniqueness of Enneper's surface.