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LI Fang-xing, PENG Lin-yu, SUN Hua-fei. On Fibre Bundle Surfaces and Their Curvatures[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2008, 17(4): 451-454.
Citation: LI Fang-xing, PENG Lin-yu, SUN Hua-fei. On Fibre Bundle Surfaces and Their Curvatures[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2008, 17(4): 451-454.
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On Fibre Bundle Surfaces and Their Curvatures

  • 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

    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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    • References (8)
  • [1]
    Chao Jinhui.Li Fangxing A surface model based on a fibre bundle of 1-parameter groups of Hamiltonian Lie algebra 2005
    [2]
    Chao Jinhui.Kim Jongdae.Nagakura Atsushi A new surface model based on a fibre-bundle of 1-parameter groups 2004
    [3]
    Chao Jinhui.Kim Jongdae A fibre bundle model of surfaces and its generalization 2004
    [4]
    Sano Hiroyasu.Makino Mitsunori.Chao Jinhui An adaptive high quality mesh generation for surface defined by linear Lie algebra 2001
    [5]
    Chao Jinhui.Karasudani Akira.Minowa Kenji Invariant representation andrecognition of objects using linear Lie algebra of tangent or normal vector fields 2000(09)
    [6]
    Chao Jinhui.Suzuki M Invariant extraction and segmentation of 3D objects using linear Lie algebre model 2002
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    Suzuki M.Chao Jinhui Invariant extraction and segmentation of 3D objects with linear Lie albegra model 2002(08)
    [8]
    Olver P J Applications of Lie groups to differential equations 1986
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