Hou, Zhong Hua
Professor Supervisor of Doctorate Candidates Supervisor of Master's Candidates
Gender:Male
Alma Mater:日本东京工业大学
Degree:Doctoral Degree
School/Department:数学科学学院
Discipline:Pure Mathematics
E-Mail:zhonghua@dlut.edu.cn
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Indexed by:Journal Papers
Date of Publication:2019-12-01
Journal:MECHANISM AND MACHINE THEORY
Included Journals:EI、SCIE
Volume:142
ISSN No.:0094-114X
Key Words:The special Euclidean group; Exponential map; Multi-parameter family; Envelope theory
Abstract:This paper is mainly divided into three parts. In the first part, we give the descriptions of the bases of two and three dimensional Lie subalgebras of se(3). In the second part, we construct submanifolds of SE(3) via several two and three dimensional Lie subalgebras of se(3). In the final part, we focus on the multi-parameter families of curves in E-3 generated by actions of the constructed submanifolds of SE(3) on a segment of curve. The geometrical properties of the envelopes of these families of curves are further studied and the expressions of Gauss and mean curvatures in each case are given. (C) 2019 Elsevier Ltd. All rights reserved.
