On fibre bundle surfaces and their curvatures

Fang Xing Li; Lin Yu Peng; Hua Fei Sun

On fibre bundle surfaces and their curvatures

Fang Xing Li^*
, Lin Yu Peng
, Hua Fei Sun

^*此作品的通讯作者

机电学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	451-454
页数	4
期刊	Journal of Beijing Institute of Technology (English Edition)
卷	17
期	4
出版状态	已出版 - 12月 2008

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title = "On fibre bundle surfaces and their curvatures",

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.",

keywords = "Fibre bundle surface, Gaussian curvature, Linear Lie algebra, Mean curvature",

author = "Li, \{Fang Xing\} and Peng, \{Lin Yu\} and Sun, \{Hua Fei\}",

year = "2008",

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T1 - On fibre bundle surfaces and their curvatures

AU - Li, Fang Xing

AU - Peng, Lin Yu

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 - https://www.scopus.com/pages/publications/58249086404

M3 - Article

AN - SCOPUS:58249086404

SN - 1004-0579

VL - 17

SP - 451

EP - 454

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

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

IS - 4

ER -

On fibre bundle surfaces and their curvatures

摘要

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