Spacelike developable surfaces through a common line of curvature in Minkowski 3-space

Autor: Cai-Yun LI, Chun-Gang ZHU, Ren-Hong WANG
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Journal of Advanced Mechanical Design, Systems, and Manufacturing, Vol 9, Iss 4, Pp JAMDSM0050-JAMDSM0050 (2015)
Druh dokumentu: article
ISSN: 1881-3054
DOI: 10.1299/jamdsm.2015jamdsm0050
Popis: This paper studies the problem to construct a spacelike developable surface possessing a given non-null parametric curve as the line of curvature in Minkowski 3-space. By using Frenet frame to express the surface, we derive the necessary and sufficient conditions when the resulting spacelike developable surface is cylinder, cone or tangent surface. Finally, we give some representative examples.
Databáze: Directory of Open Access Journals