On fibre bundle surfaces and their curvatures

Fang Xing Li, Linyu Peng, Hua Fei Sun

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)451-454
Number of pages4
JournalJournal of Beijing Institute of Technology (English Edition)
Volume17
Issue number4
Publication statusPublished - 2008 Dec
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Engineering(all)

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