On Fibre Bundle Surfaces and Their Curvatures |
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Authors: | LI Fang-xing PENG Lin-yu and SUN Hua-fei |
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Affiliation: | [1]School of Mechanical and Vehicular Engineering,Beijing Institute of Technology,Beijing 100081,China [2]School of Science,Beijing Institute of Technology,Beijing 100081,China |
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Abstract: | A surface model called the fibre bundle model is proposed. This model represents a surface locally as a direct product of two curves:a base curve and a fibre curve. We introduce the fibre bundle model and then obtain the Gaussian curvatures and the mean curvatures of a certain kind of fibre bundle surface models using 1-parameter groups of a linear Lie algebra as fibres. Some examples are given to verify our results. |
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Keywords: | fibre bundle surface linear Lie algebra Gaussian curvature mean curvature |
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