The Gauss map of submanifolds in the Heisenberg group |
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Authors: | EV Petrov |
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Institution: | Karazin Kharkiv National University, 4 Svobody sq., 61022 Kharkiv, Ukraine |
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Abstract: | We obtain criteria for the harmonicity of the Gauss map of submanifolds in the Heisenberg group and consider the examples demonstrating the connection between the harmonicity of this map and the properties of the mean curvature field. Also, we introduce a natural class of cylindrical submanifolds and prove that a constant mean curvature hypersurface with harmonic Gauss map is cylindrical. |
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Keywords: | 53C40 53C42 53C43 |
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