Ruled surfaces of Weingarten type in Minkowski 3-space |
| |
Authors: | Franki Dillen Wijarn Sodsiri |
| |
Institution: | (1) Present address: Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, 3001 Leuven (Heverlee), Belgium;(2) Department of Mathematics, Khon Kaen University, Khon Kaen, 40002, Thailand |
| |
Abstract: | In this paper, we study ruled Weingarten surfaces M : x (s, t) = α(s) + tβ (s) in Minkowski 3-space on which there is a nontrivial functional relation between a pair of elements of the set {K, KII, H, HII}, where K is the Gaussian curvature, KII is the second Gaussian curvature, H is the mean curvature, and HII is the second mean curvature. We also study ruled linear Weingarten surfaces in Minkowski 3-space such that the linear combination
aKII + bH + cHII + dK is constant along each ruling for some constants a, b, c, d with a2 + b2 + c2 ≠ 0. |
| |
Keywords: | 53A10 53A35 53B30 |
本文献已被 SpringerLink 等数据库收录! |
|