Abstract
By constructing a holomorphic cubic form for Lagrangian surfaces with nonzero constant length mean curvature vector in a 2-dimensional complex space form \(\tilde M\)(4c), we characterize the Lagrangian pesudosphere as the only branched Lagrangian immersion of a sphere in \(\tilde M\)(4c) with nonzero constant length mean curvature vector. When c = 0, our result reduces to Castro-Urbano’s result in [1].
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