Publication
Constant Mean Curvature Surfaces with Harmonic Gauss Map in Three-Dimensional Lie Groups
| Summary: | 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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| Main Authors: | Petrov, Eugene |
| Other Authors: | Savchuk, Iryna |
| Subject: | CMC surface Gauss map Harmonic map Left-invariant metric Analysis Mathematical Physics Geometry and Topology |
| Year: | 2026 |
| Country: | Portugal |
| Document type: | article |
| Access type: | open access |
| Associated institution: | Universidade Nova de Lisboa |
| Language: | English |
| Origin: | Repositório Institucional da UNL |
| Summary: | 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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