A classification of constant Gaussian curvature surfaces in the three-dimensional hyperbolic space

arxiv(2024)

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摘要
Weakly complete constant Gaussian curvature -1-1 but K ≠ 0 by using harmonicities of Lagrangian and Legendrian Gauss maps. Then we will show that a spectral parameter deformation of the Lagrangian harmonic Gauss map gives a harmonic map into ℍ^2 for -1< K<0 or 𝕊^2 for K>0, respectively.
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