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Constant Mean Curvature Surfaces with Harmonic Gauss Map in Three-Dimensional Lie Groups

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We describe constant mean curvature surfaces with harmonic left-invariant Gauss map in three-dimensional unimodular Lie groups endowed with left-invariant metrics that are also right-invariant with respect to one-dimensional Lie subgroups, as well as in the hyperbolic space.

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Petrov, E., & Savchuk, I. (2026). Constant Mean Curvature Surfaces with Harmonic Gauss Map in Three-Dimensional Lie Groups. Journal of Mathematical Physics Analysis Geometry, 22(3), 291-304. https://doi.org/10.15407/mag22.03.04

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CMC surface Gauss map Harmonic map Left-invariant metric Analysis Mathematical Physics Geometry and Topology

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