### 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.

Original language | English |
---|---|

Pages (from-to) | 451-454 |

Number of pages | 4 |

Journal | Journal of Beijing Institute of Technology (English Edition) |

Volume | 17 |

Issue number | 4 |

Publication status | Published - 2008 Dec |

Externally published | Yes |

### Fingerprint

### Keywords

- Fibre bundle surface
- Gaussian curvature
- Linear Lie algebra
- Mean curvature

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Journal of Beijing Institute of Technology (English Edition)*,

*17*(4), 451-454.

**On fibre bundle surfaces and their curvatures.** / Li, Fang Xing; Peng, Linyu; Sun, Hua Fei.

Research output: Contribution to journal › Article

*Journal of Beijing Institute of Technology (English Edition)*, vol. 17, no. 4, pp. 451-454.

}

TY - JOUR

T1 - On fibre bundle surfaces and their curvatures

AU - Li, Fang Xing

AU - Peng, Linyu

AU - Sun, Hua Fei

PY - 2008/12

Y1 - 2008/12

N2 - 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.

AB - 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.

KW - Fibre bundle surface

KW - Gaussian curvature

KW - Linear Lie algebra

KW - Mean curvature

UR - http://www.scopus.com/inward/record.url?scp=58249086404&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=58249086404&partnerID=8YFLogxK

M3 - Article

VL - 17

SP - 451

EP - 454

JO - Journal of Beijing Institute of Technology (English Edition)

JF - Journal of Beijing Institute of Technology (English Edition)

SN - 1004-0579

IS - 4

ER -